Is x-10 a factor of f(x)=5x^3+60x^2+109x+90

Answers

Answer 1

Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.


Related Questions

Explain step by step please!

Thirty copies of a textbook weigh a total of 75lb. What is the weight of each book?

Answers

Answer:

Each book weighs 2.5 pounds.

Step-by-step explanation:

75/2.5 is 30.  Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.

Answer:

2.5lb

Explanation:

In equation form the question is asking for x in

[tex]30(x) = 75[/tex]

Since multiplication is reversible (to be division), we can switch the equation up.

[tex]75[/tex] ÷ [tex]30 = x[/tex]

So the answer is

[tex]75[/tex] ÷ [tex]30 = 2.5[/tex]

Whats 4+4+(6x168) and the answer in Spanish

Answers

It’s he alive in the bath it’s not
It's 1016, which in spanish would be: mil dieciséis.

Express the relation below as a set of order pairs

Answers

(-3,9) (1, 1)

Step-by-step explanation:

Bird flying 4 feet above sea level seal is 6.5 below surface

Answers

False

The bird would still be 4 feet above sea level.

The middle school is purchasing shoes for its basketball team. The cost of
each pair of shoes is $42. The total cost, t,is proportional to s,the number
of pairs of shoes ordered. Which of the following equations models this
proportional relationship? *

Answers

Answer:

9s = 378t      

is the same as  (9 x 42)   etc...

Step-by-step explanation:

I don't have the choice of answers of what is being said as proportional but an example is here below of what numbers are multiples of 42 and therefore found its proportion this way.

10s = 420t       (10 x 42)

9s = 378t         (9 x 42)   etc...

8s = 336t

7s = 294t

6s = 252t

5s = 210t    (5 x 42)

4s = 168t    etc....

682 x 257 plz heeellllp

Answers

The Answer is: 175,274

HELP ASAP!!!!! If the big triangle below has an area of 20 m squared what does x equal

Answers

Answer:

[tex]20 = (x + 1) \times 10 \times 0.5 \\ = 5 \times (x + 1) \\ x + 1 = 20 \div 5 = 4 \\ x = 4 - 1 = 3 \\ enjoy \: it[/tex]

Why does that answers show sometimes but not all the time

Answers

Answer:

Don’t be lame

Step-by-step explanation:

Cheaters are lame

Answer:

thats because of brainly ads, if u don't want the brainly ads u have to get premium.

Step-by-step explanation:

How many bagels can u make in 18 hours

Answers

Answer:

4  but i'm bad at cooking cause i'm 15 so

Step-by-step explanation:

whats 76x168 + 69+87=

Answers

Answer:

12,924

Step-by-step explanation:

76x168= 12,768

and...

69+87= 156

now we add them together...

12,768+156= 12,924

Hope this helped you- have a good day bro cya)

Find the equation of this line

Answers

Answer:

x-3y=-6

Step-by-step explanation:

-3 1 3 3

Slope= (3-1)/(3--3)=2/6=1/3

y-intercept=2

y=mx+c

y=1/3 x+2

3y=x+6

x-3y=-6

If your car gets 22 miles per gallon, how much does it cost to drive 440 miles when gasoline costs $3.00 per gallon?

Answers

Answer:

$60.00

Step-by-step explanation:

440/22 = 20

20 x 3 = 60

what is the volume of the following figure. all of the cubes are visible​

Answers

Answer:

Is there an image you can post? I dont see the figure.

find the center and radius of the circle whos equation is (x+5)^2+(y-3)^2=9

Answers

9514 1404 393

Answer:

  center (-5, 3)

  radius 3

Step-by-step explanation:

Compare the given equation to the standard form equation of a circle:

  (x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r

This shows us that ...

  -h = +5   ⇒   h = -5

  -k = -3   ⇒   k = 3

  r² = 9   ⇒   r = √9 = 3

Then the circle center is (h, k) = (-5, 3), and the radius is r = 3.

What is the common difference for the arithmetic sequence?
-5, -1, 3, 7, ...
A. 6
B. -4
C. -6
D. 4

Answers

Answer:

d. 4

Step-by-step explanation:

the numbers in the sequence keep increasing by a unit of 4.

-5 + 4 = -1

-1 +4 = 3

3 + 4 = 7

Answer:

B -4

Step-by-step explanation:

WILL MARK BRAINLIEST Select the correct answer.
What is the slope of the line in this graph?
y 10
9
8
00
17
6
5
5
w
3
-2
N
X
1
2
3
5
ch
6
7
7
GO
9
10
ОА.
OB &
C.
9
OD

Answers

Answer:

don't know Sorry sorry

Answer:

Edit: 2/3 or 5/7

Step-by-step explanation:

Slope(m) = 5-3/7-4 = 2/3

The figure isn't clear for me so i figured it passed through 4 3 as well but if it isn't.

Slope(m) = 5-0/7-0 = 5/7

3 2/3 +2.3with a line on top of the three =

Answers

Answer: =5 29/30

Step-by-step explanation:

Solution by separating parts

Rewriting our equation with parts separated

=3+2/3+2+3/10

Solving the whole number parts

3+2=5

Solving the fraction parts

2/3+3/10=?

Find the LCD of 2/3 and 3/10 and rewrite to solve with the equivalent fractions.

LCD = 30

20/30+9/30=29/30

Combining the whole and fraction parts

5 + 29/30=5 29/30 hope this helps

Answer:

Do you mean 3⅔ + ⅔? If so, the answer is 4⅓.

Step-by-step explanation:

3⅔ + ⅔

[convert mixed fraction to improper fraction]

11/3 + 2/3

[LCM is 3]

(11+2)/3 = 13/3

[convert improper fraction to mixed fraction]

13/3 = 4⅓

Read the sentences:

There is evidence that suggested Nero, the Roman Emperor, enjoyed frozen treats and demanded that a constant supply of ice from the mountains be available to him. He wanted to be able to eat the delicious dessert whenever he pleased. He added honey to the top of his dessert regularly.

What words in the text show that the word constant means something that occurs all the time?

a. Available, regularly
b. Demanded, wanted
c. Enjoyed, treats
d. Supply, dessert

Answers

A. This is because c and d don’t make sense. B could mean he didn’t have it but wanted it. A is the only logical answer.

Select the correct answer.
Sam is moving bags of soil from a loading dock into a storeroom. The topsoil weighs 40 pounds per bag, and the mulch weighs 20 pounds per
bag. The cart Sam uses to move the bags can only carry up to 480 pounds.
Which graph represents the number of topsoil bags and mulch bags that Sam can move in a single trip?

Answers

Answer:

The answer would be the A (I included a picture to show you which one it is)

Step-by-step explanation:

Options D and E are out because it clearly says " bags can only carry up to 480 pound" and those are saying it can hold more than 480

Options B and C have a dashed line. If it has a dashed line that means that it is < or > and it is not because it says "up to" up to means it CAN hold exactly 480

So the only right answer would be Option A

Answer:

A

Step-by-step explanation:

Got it right off Edmentum!!

how long does a pregnancy last will give 100 points I'm in test
a 1day
b 1mounth
c 2weeks
d 1year

Answers

Answer: D is the answer

Step-by-step explanation:

And why are you asking this question? Are you a girl?

Please hurry 15 points

Answers

Answer:

pretty sure its A

Step-by-step explanation:

A is the only one with the line going threw -1 and 5

Answer: its A just got done with it

Please solve this in under 15 minutes! It’s due in 20 minutes!

Answers

Answer:

i think that it would be the second one

Find the value of this expression if x = 5.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

5

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{x^2-5}{x-1}\\-----------\\\\\rightarrow \frac{(5)^2-5}{5-1}\\\\\rightarrow \frac{25-5}{5-1}\\\\\rightarrow\frac{20}{4}\\\\\rightarrow \boxed{5}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Help me plz

It’s question 2

Answers

Answer:

angle a is acute and angle b is obtuse

Step-by-step explanation:

Angle A: Acute

Angle B: Obtuse

Find the selling price of a $16,000 SUV with a 20% markup

Answers

Answer:

how are we ment to know

.563 rounded to nearest hundredth

Answers

Answer:

.56

Step-by-step explanation:

.56
Because 3 is less than 5

What is the volume of the rectangular prism shown

Answers

Multiply 1/4 in. by 1/2 in. to get the area of the base, which would be 1/8.

And then multiply this by 1 and 3/4 (or 7/4), which will give you the volume of 7/32 in.

Resuelve (10x-8y)(6x+4)=

Answers

Answer:

60x^2 + 40x - 48xy - 32y

Step-by-step explanation:

Let's solve this using the FOIL (first, inner, outer, last) method.

(10x-8y) (6x+4)

= 10x × 6x + 10x × 4 - 8y × 6x - 8y × 4

= 60x^2 + 40x - 48xy - 32y

Answer: 60x^2 + 40x - 48xy - 32y

Soory for the wrong answer i re solved it :)

> The cost of a popsicle at the snack stand is $0.75. Let p represent the number of popsicles and c represent total cost. Use an equation to represent the relationship between the numbers of popsicles bought and the total cost. Type your answer below.

This is what my previous tutor sent, that I don’t understand:
popsicles price: p = 0.75
c = cost
x = number of popsicles bought.
cost = popsicle price * number bought
c = p * x
c = 0.75x

Answers

Answer:

SWE

Step-by-step explanation:

What is 10 minus 1.5 i will mark branliest if you show woking out like collum method pls show IT​

Answers

Answer:

[tex]17/2[/tex]

Step-by-step explanation:

I don't know what the column method is, but I can give you another method of solving.

We know that [tex]1.5=1~1/2=3/2[/tex], so we really want to find [tex]10-3/2[/tex].

We know that [tex]20[/tex] divided by [tex]2[/tex] is [tex]10[/tex], so we really want to find [tex]20/2-3/2[/tex].

We can combine fractions with like denominators, so we really want to find [tex](20-3)/2[/tex].

We know that [tex]20-3[/tex] is [tex]17[/tex], so we really want [tex]17/2[/tex]. We can't simplify [tex]17/2[/tex] anymore.

So, the answer is [tex]\boxed{17/2}[/tex] and we're done!

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