factorize this polynomial function
x³-7x+6
Hint:x³-7x+6​=0

Answers

Answer 1

Answer:

(x - 1)(x - 2)(x + 3)

Explanation:

f(x)=x3-7x+6 Since (a + b + c + d = 0), then f(1) = 0 --> one factor if (x - 1).

After division -->

f(x)=(x-1)(x2f2+x-6). The trinomial in parentheses can be factored.

Find 2 numbers knowing sum (1) and product (-6). They are -2 and 3.

Therefor, f(x)=(x-1)(x-2)(x+3)


Related Questions

when would a forest be sustainable?

Answers

Answer:  B: When supply is greater than demand

Explanation:Hope this helps

How does mercury change from something benign to something harmful?

Answers

Answer:

Burning coal releases mercury into the atmosphere. It falls into sediments and is converted into methyl mercury by bacteria

Explanation:

in monohybrid cross between a pure breed plant that produces blue flowers (BB)and a pure breed plant that produces white flowers.The f1 generation produces only blue flowers. By means of a labelled cross diagram,state the type of flower you will expect if the f1 generation is self pollinated​

Answers

Answer: If the F1 generation is self-pollinated, 75% of the flowers will be blue, while 25% will be white.

Explanation:

Monohybrid cross between blue and white: BB x bbThe cross produces 100% Bb --> blue is dominant, so all the flowers will be blue. This is the F1 generation.If F1 is self-pollinated, it will be Bb x Bb.The cross will produce 25% BB, 50% Bb, and 25% bb.Since blue is dominant, 75% of the flowers will be blue, while 25% will be white.

Pictures:

The first picture is the BB x bb cross.The second picture is the Bb x Bb cross.I don't know why the pictures are appearing sideways. If you click the rotate button at the top right of the pictures, you can turn them.

why do you think we should wear mask?

Answers

Answer:

So that we can limit the cases and keep safe :)

Explanation:

Answer:

masks slow the spread of the virus and or prevent you from catching the virus.

why is forcing the cell to increase the rate of the cell cycle lead to error in DNA replication

Answers

We tend to think of the process of DNA replication as this well laid out stoic process like a factory line. It isn't. The DNA doesn't lie in a straight line for the DNA polymerase to read and it is moving - not static. It is tangled and curved. First understand this is the molecular level. Things don't "think", bacteria don't make decisions, they have no neurons. Everything is a chemical reaction that very often depends on osmotic pressure of one concentration being stronger then another both inside of the cell and outside. Nothing is empty though even at that level there is a lot of "nothing".

On your visit to New York City, you and your friend observed that the grey rats (Rattus norvegicus) in the New York subway are considerably larger than a typical West Coast rat. You decided to test whether this difference was genetic or environmental. You obtained a litter of 10 New York rat pups, and a litter of 10 California rat pups. Each of you took 5 pups from each litter and kept them in your room for 3 months, despite your roommates' protests. You fed your rats a balanced diet of dry cat food and fresh fruit and vegetables. Your friend, however, has a soft heart and gave her rats french fries, cheeseburger wraps, hot dogs, and other nostalgic New York fare. At the end of your experiment, you found that the New York and California rats that grew up in your home were exactly the same size. Your friend, however, found that her New York rats were larger than her California rats, and both were larger than your rats. So, is the difference genetic or environmental?

Explain why you concluded this.

a. Genetic
b. Environmental
c. Genotype environment interaction
d. a and b
e. b and c
f. a and c
g. a, b, and c

Answers

Answer:

d. a and b

Explanation:

The difference in the size of both rats are due to genetic and environmental because rats of both location increased in size which eats a lot of food as compared to those rats which eats balanced diet. This is due to the environment while on the the other hand, due to difference in genetics, New York rats grew larger than California rats of your friend which eats large number of food. So we can say that both genetic and environmental factors affect the rats size.

in an appropriate design experiment, a scientist is able to test the effect of?

Answers

Answer:

This question is incomplete as it lacks options, the options are:

A) a single variable

B) multiple variables

C) the hypothesis

D) scientific observations

The answer is A

Explanation:

An experiment is conducted to solve a particular problem or find answers to a given scientific question. In an experiment, which usually consists of variables, only A SINGLE VARIABLE is tested at once.

This means that the effect of a variable called INDEPENDENT VARIABLE is tested at a time. The independent variable is the variable that is changed or manipulated in an experiment. This means that only a SINGLE VARIABLE can be changed at at time in an an appropriate design experiment.

Pretend you are a molecule of oxygen and you have reached the blood stream and attached to the hemoglobin on a red blood cell.
Describe as you travel through the different types of blood vessels (capillaries, arteries, and veins) as you make your journey through the different types of circulation (pulmonary/lungs, coronary/heart, and systemic/body) and reach the cells of the body.

Answers

Answer:

Blood flowing through the circulatory system transports nutrients, oxygen, and water to cells throughout the body. The journey might begin and end with the heart, but the blood vessels reach every vital spot along the way. These arteries, veins, and capillaries make for a vast network of pipes. If you were to lay out all the blood vessels of the body in a line, they would stretch for nearly 60,000 miles. That’s enough to circle the earth almost three times!

1. The Three Major Types of Blood Vessels: Arteries, Veins, and Capillaries

The different types of blood vessels and their layers

Blood vessels flow blood throughout the body. Arteries transport blood away from the heart. Veins return blood back toward the heart. Capillaries surround body cells and tissues to deliver and absorb oxygen, nutrients, and other substances. The capillaries also connect the branches of arteries and to the branches of veins. The walls of most blood vessels have three distinct layers: the tunica externa, the tunica media, and the tunica intima. These layers surround the lumen, the hollow interior through which blood flows.

2. Oxygenated Blood Flows Away from the Heart Through Arteries

The major arteries and branches of the body

The left ventricle of the heart pumps oxygenated blood into the aorta. From there, blood passes through major arteries, which branch into muscular arteries and then microscopic arterioles. The arterioles branch into the capillary networks that supply tissues with oxygen and nutrients. The walls of arteries are thicker than the walls of veins, with more smooth muscle and elastic tissue. This structure allows arteries to dilate as blood pumps through them.

3. Veins Carry Blood Back Toward the Heart

The superior and inferior vena cava

After the capillaries release oxygen and other substances from blood into body tissues, they feed the blood back toward the veins. First the blood enters microscopic vein branches called venules. The venules conduct the blood into the veins, which transport it back to the heart through the venae cavae. Vein walls are thinner and less elastic than artery walls. The pressure pushing blood through them is not as great. In fact, there are valves within the lumen of veins to prevent the backflow of blood.

4. Exchange of Gases, Nutrients, and Waste Between Blood and Tissue Occurs in the Capillaries

Click to play an animation of blood flow through capillaries

Capillaries are tiny vessels that branch out from arterioles to form networks around body cells. In the lungs, capillaries absorb oxygen from inhaled air into the bloodstream and release carbon dioxide for exhalation. Elsewhere in the body, oxygen and other nutrients diffuse from blood in the capillaries to the tissues they supply. The capillaries absorb carbon dioxide and other waste products from the tissues and then flow the deoxygenated blood into the veins.

5. The Constant Pumping of the Heart Maintains Blood Pressure and Supply Throughout the Body

Click to play an animation of blood pressure measurement

The blood moving through the circulatory system puts pressure on the walls of the blood vessels. Blood pressure results from the blood flow force generated by the pumping heart and the resistance of the blood vessel walls. When the heart contracts, it pumps blood out through the arteries. The blood pushes against the vessel walls and flows faster under this high pressure. When the ventricles relax, the vessel walls push back against the decreased force. Blood flow slows down under this low pressure.

Which of the following is false about DNA?

A. DNA is made up of units called nucleotides.

B. Any base can pair to any other base.

C. DNA contains the instructions to make proteins.

D. DNA is found in a cell's nucleus.

Answers

Answer:

b. any base pair can pair to any other base

Explanation:

Any base pair cannot pair with any other base, Adenine pairs with thymine and cytosine pairs with guanine.  

• The hereditary material in humans and almost all of the living species is known as DNA or deoxyribonucleic acid.  

• The majority of the DNA is present within the nucleus of the cell.

• DNA comprises the instructions to make proteins that helps to perform essential functions within the body of an organism.  

• Within the DNA, information is stored in the form of a code formed of four chemical bases, that is, Adenine, guanine, cytosine, and thymine.  

• The base pairs present within the DNA pairs up with each other, that is, adenine pairs with thymine only, and guanine pairs with cytosine, no other kind of pairing is found within the DNA. Each base of also attached with a molecule of phosphate  and sugar.  

• Together, a phosphate, base, and sugar are known as a nucleotide.  

Thus, statement B is incorrect.

To know more about:

https://brainly.com/question/13688179

What is a sand cats primary diet?

Answers

Answer and explanation:

Sand cats eat primarily small rodents, occasionally hares, birds, spiders, insects and reptiles. They are fearless snake hunters—their prey can include venomous vipers and other snakes. Living in a relatively desolate habitat, sand cats are opportunistic feeders out of necessity.



Which of the following will cause a decrease in ADH production?
(A) dehydration
(B) an increase in osmotic pressure of blood
(C) drinking water
(D) abnormally low blood pressure

Answers

C

drinking water may not be enough to keep your symptoms under control.

Which of the following statements is true?

a)  only males can get an X-linked. disorder.
b) only females can get an X-linked disorder.
c) only males can get a Y-linked disorder.​

Answers

Answer:

The answer is a

Explanation:

X-linked disorders result from mutated genes on the X chromosome. Males, who have only one X chromosome (i.e., they are hemizygous), will fully express an X-linked disorder. On the other hand, females, who have two X chromosomes, will be carriers of the defect in the majority of cases, and so they are usually asymptomatic.

What step occurs in the cristae?

Answers

The crista of mitochondria, formed by invaginations of the inner mitochondrial membrane, is where oxidative phosphorylation occurs.

What is mitochondria?

Mitochondria are cell organelles that generate the maximum of the chemical energy required to power the cell's biochemical reactions (mitochondrion, singular).

The mitochondrial energy is stored in a small molecule known as adenosine triphosphate (ATP).

The crista of mitochondria, formed by invaginations of the inner mitochondrial membrane, is where oxidative phosphorylation occurs.

Thus, the process name is oxidative phosphorylation.

For more details regarding mitochondria, visit:

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What are 2 characteristics of Eukaryotes?

Answers

Answer:

prokaryotic cells, eukaryotic cells have: a membrane-bound nucleus. numerous membrane-bound organelles (including the endoplasmic reticulum, Golgi apparatus, chloroplasts, and mitochondria) several rod-shaped chromosomes

Explanation:

Answer:

They have a nucleus, They have road shaped chromosomes

Explanation:

whick factor is a density dependent limting factors on poplation of a species

Answers

Answer:

I need to see an image of something to help u out

What type of medication have they tested using tissue grown with this
technology?

Answers

Answer:

Tissue engineering evolved from the field of biomaterials development and refers to the practice of combining scaffolds, cells, and biologically active molecules into functional tissues. The goal of tissue engineering is to assemble functional constructs that restore, maintain, or improve damaged tissues or whole organs. Artificial skin and cartilage are examples of engineered tissues that have been approved by the FDA; however, currently they have limited use in human patients.  

Regenerative medicine is a broad field that includes tissue engineering but also incorporates research on self-healing – where the body uses its own systems, sometimes with help foreign biological material to recreate cells and rebuild tissues and organs.  The terms “tissue engineering” and “regenerative medicine” have become largely interchangeable, as the field hopes to focus on cures instead of treatments for complex, often chronic, diseases.

List three questions you would need to answer in order to support the claims being made about GroBIg

Answers

Answer:

Who is grobig

Explanation:

Answer: For production agriculture this generally means supplementing precipitation with irrigation. ... Increases in fuel prices means that pumping extra irrigation water increases irrigation expenses without ... GROBig Red Virtual Learning Series.

Which would most likely contribute to better digestion and respiration?

Answers

Answer: Energy is released when bonds in the food molecules are broken during digestion.

Explanation:

What is biology of brown rat?

Answers

“They have moderately long legs and long, sharp claws. The bald soles of their narrow hind feet possess fleshy pads of variable size, depending on species. The brown rat has a larger body than the house rat, and its tail is shorter relative to the body.”

Please someone help me please

Answers

It is false.

Explanation:

Colloids include gels, sols, and emulsions; the particles do not settle, and cannot be separated out by ordinary filtering or centrifuging like those in a suspension.

Which of these is an abiotic infectious agent?
● Bacteria
●Fungi
● Parasites
● Viruses​

Answers

It should be viruses

Answer:

A. Bacteria

Explanation:

Hope this helps!

Which two processes are responsible for the formation of fog?

Answers

Answer:

Explanation:

evaporation

A homogeneous mixture is known as a(n) A dicolloidal B solution C solvent D suspension​

Answers

Answer:

A homogeneous mixture is known as B. Solution.

What do individuals who are heterozygous for codominant traits show for a
phenotype?

Answers

Answer:

Individuals who are heterozygous for co-dominant traits show in their phenotype both traits, without mixing.

Explanation:

Codominance is a type of inheritance that does not follow the rules of Mendelian inheritance, characterized by the absence of recessive traits and two different alleles for a character that behave as dominant.

Heterozygous individuals can be observed in codominance that show two different characteristics in their phenotype, without mixing, such as cattle with spotted skin or two colored flowers.

Calculate the molarity of 0.75 L of a solution containing 0.83 g of dissolved KCI. A 0.015 M B 0.75 M C 1.1 M D 6.2​

Answers

Answer:

A 0.015M

Explanation:

Molarity, which refers to the molar concentration of a solution, can be calculated using the formula:

Molarity (M) = mole (n) / volume (L)

Based on the information provided in this question, the solution contains 0.83 g of dissolved KCI.

We can calculate the number of moles of KCl in the solution by using the formula:

Mole = mass ÷ molar mass

Where atomic mass of; K = 39, Cl = 35.5

Molar Mass of KCl = 39 + 35.5

= 74.5g/mol.

Mole = 0.83g/74.5g/mol.

mole = 0.01114

Approximately, n = 0.011mol

Hence, molarity = 0.011mol/0.75L

Molarity = 0.0146

Molarity = 0.015M

what is sexual reproduction?

Answers

Answer:

Hey!

Explanation:

Erm maybe look it up, itll give you a straight answer and I feel like you asked this to see what we answer

producing a baby from sexual intercourse

Which statement is true regarding the transmission of sex-linked traits in a population?
O Males cannot carry recessive alleles for sex-linked traits.
O Males cannot express dominant alleles on the X chromosome.
O Males cannot express recessive alleles on the X chromosome.
O Males cannot pass alleles for sex-linked traits to their daughters.

Answers

Answer: none of the statements are true

Explanation: Males can have a recessive copy of a X-linked gene, and can pass that on in the X containing gamete and so pass it on to daughters,  but not to male offspring. Males will express whichever allele, dominant or recessive that they carry.

So meiosis produces I need help

Answers

it produces eggs ........

2. The structural and functional unit of life is (a) a cell, (b) an organ, (c) the organism, (d) a
molecule.

Answers

Answer:

A. A cell

Explanation:

Cells are the building blocks of life.

They are the biological units of organisms and are the basic structural and functional units of life.

Cells are the smallest units of life.

Can someone help on this science question please.

Answers

Answer:

D. all of the above

Explanation:

hook it up w a brainliest

Answer:

D all of the above

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