Select all factors of the following polynomial: 5p3 + 45p2 + 40p

Select All Factors Of The Following Polynomial: 5p3 + 45p2 + 40p

Answers

Answer 1

Answer:

[tex]\huge\boxed{5p;\ (p+1)}[/tex]

Step-by-step explanation:

[tex]5p^3+45p^2+40p=5p(p^2+9p+8)=5p(p^2+p+8p+8)\\\\=5p\bigg[p(p+1)+8(p+1)\bigg]=5p(p+1)(p+8)\\\Downarrow\\\boxed{5p};\ \boxed{(p+1)};\ \boxed{(p+8)}[/tex]

Answer 2

the factors for the given expression are

[tex]5p, p+1, p+8[/tex]

Given :

Given expression is [tex]5p^3 + 45p^2 + 40p[/tex]

Lets factor the given trinomial by factoring out GCF that is greatest common factor

Lets find out GCF from the given expression

all the terms are divisible by 5  and also we have 'p' in common

so GCf is 5p

[tex]5p^3 + 45p^2 + 40p\\5p\left(p^2+9p+8\right)\\[/tex]

Now we factor [tex]\left(p^2+9p+8\right)[/tex]

Product is 8  and sum is 9

So factors are 8  and 1

[tex]5p\left(p^2+9p+8\right)\\5p\left(p+1\right)\left(p+8\right)[/tex]

So the factors are

[tex]5p, p+1, p+8[/tex]

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Related Questions

The double number line shows how far a hummingbird can fly in 1 second -
Complete the table to show the same information as the double number line

Answers

Answer:

1

3

130

Step-by-step explanation:

as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1

using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.

13/1=39/x

this is 13x=39

x=3 seconds

use the same ratio to find distance

13/1=x/10

13=x/10

130=x

which is bigger 5.8 or 5.5

Answers

Answer:

5.8 is bigger

Step-by-step explanation:

Answer:

5.8

Step-by-step explanation:

Since they both start with 5, you look at the next number. Which ever number is bigger is the greater number.

3. Which number is a factor of 18. but not a multiple of 2? (10 Points)​

Answers

Answer:

Three or nine

Step-by-step explanation:

help quicklyy pleasee

Answers

Answer:

b

Step-by-step explanation:

Answer:

It is B.

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Please help!!!!!! Thank you!

Answers

Answer:

y= -4/3x+8

Step-by-step explanation:

y=mx+b is the equation for a line

m=slope

b=y-intercept

First, find the slope

The formula for the slope is: y2-y1/x2-x1

8-0/0-6=

8/-6=4/-3

Plug the slope into the equation

y= -4/3x+b

Now find the y-intercept.

To do this, plug in the x and y of a coordinate and solve for b

I will use (0,8)

8= -4/3(0)+b

8=b

Plug the y-intercept into the equation

y= -4/3x+8

y= -4/3x+8 is your equation

Express in the form n : 1
9:3​

Answers

Answer:

n =3

hope it helps

Answer:

3:1

Step-by-step explanation:

cut by 3

..............

Which is a like radical to 3 sqrt 54 and 3 sqrt 128 when the expression are simplified?

Answers

Answer:

A.) [tex]3\sqrt[]{2}[/tex]

Step-by-step explanation:

Edge 2020 assingment

Goodluck everybody!

∛2 is the radical part of both ∛54 and ∛128  when the expression are simplified.

What is Number system?

A number system is defined as a system of writing to express numbers.

Let us write the prime factors of 54.

54/2 = 27

When fifty four is divided by 2 we get twenty seven.

27/3=9

Twenty seven divided by three is nine.

9/3=3

So 54 = 2 × 3 × 3 × 3

we know ∛ 3 × 3 × 3 = 3

∛54 = ∛ 3 × 3 × 3×2 = 3∛2

Hence, ∛2 is the radical part of both ∛54 and ∛128  when the expression are simplified.

To learn more on Number system click:

https://brainly.com/question/22046046

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which expression represents five times the sum of a number n and 12

Answers

Answer:

5n + 60

Step-by-step explanation:

5 × (n + 12) = 5 × n + 5 × 12 = 5n + 60

Mt. Calvary's budget for a swing set to be built for the Children's Church is $900. If the cost of the swing set should be at least one-fourth as much as the fort, how much can be spent on the fort and still build the swing set?

Answers

Answer:

[tex]Amount = \$4500[/tex]

Step-by-step explanation:

Represent Swing Set with S and Fort with F

Given

[tex]S = \$900[/tex]

[tex]S = \frac{1}{4}\ of\ F[/tex]  --- S = one-fourth of F

Required

Determine the amount spent on both

Substitute 900 for S in [tex]S = \frac{1}{4}\ of\ F[/tex]

[tex]\$900 = \frac{1}{4} * F[/tex]

Multiply both sides by 4

[tex]4 * \$900 = \frac{1}{4} * F * 4[/tex]

[tex]4 * \$900 = F[/tex]

[tex]\$3600= F[/tex]

[tex]F = \$3600[/tex]

The total amount to be spent it:

[tex]Amount = F + S[/tex]

[tex]Amount = \$3600 + \$900[/tex]

[tex]Amount = \$4500[/tex]

plz answer asap I rlly need help​

Answers

Answer:

-8/10, -3/16, 3/16

Step-by-step explanation:

What importance do fossils have to scientists?
A. Fossils are used to create cement, which is used to pave our roads.
B. Fossils provide information about the plants and animals that lived long ago and the nature of the environment at the time.
C. Fossils help keep the Earth's crust from shifting, which reduces the likelihood of earthquakes.
D. Fossils can help prove that aliens from other planets once lived on our Earth, but they all died from some catastrophic
event

Answers

Answer:

B is the answer.

Step-by-step explanation:

 

what is Use the table to solve the inequality 2x<2.

x −1 0 1 2 3
2x

Answers

Answer:

x less than 1

Step-by-step explanation:

Please help me I need it by 11:59!!!!!!!!!!!!!!

Answers

Answer:

f(x)=0.5x+3.5, x<1

f(x)=-2x+6, x>1

Step-by-step explanation:

Find the Point of Interest, which is at x=1 because the direction changes. Find the slope (rise/run) of the line on the left which is 1/2 or 0.5. Find the y-intercept by plugging in the given point: (-3, 2). 0.5(-3)+c=2 so the y-intercept is 3.5. Do the same for the line on the right.

At a school, 460 of the students walk to school.
the number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?

Answers

Answer:

506

Step-by-step explanation:

To find a percent answer is easy, just do this:

Enter your base number here: 460

Enter your percent here: 110%

460 x (convert 110% to a decimal) 1.1 = 506

Your welcome =)

Answer:

The answer is 506

Step-by-step explanation:

Select the correct text in the passage,
What is the opportunity cost in this scenario?
Mikael has saved $4,000 for his trip to Brazil. He has calculated that his total transportation expenses will be $1,000. The hotel will cost him
another $1,500. He will spend about $500 on food. He plans on spending the remaining $1,000 for sightseeing and buying souvenirs.
While booking his plane ticket
, he realizes that the price has gone up. His total transportation expenses will go up by $200. He realizes that he
cannot cancel his hotel reservation. He also doesn't want to go cheap on food. Finally, he decides to give up visiting the popular Ouro Preto
during his stay in Brazil
Reset
Next
mentum All rights reserved

Answers

Answer:

Sightseeing

Step-by-step explanation:

solve the proportion 9x=62

Answers

Answer: x=6.8

Step-by-step explanation:

I figured it out ;)

Answer:

x=6.889

Step-by-step explanation:

9x=62

x=62/9

x=6.889

please help me i will brainliest i swear

Answers

Answer:

B

Step-by-step explanation:

In 3y+1, the 3 is the coefficient

Write an expression that can be used to find the total cost of 7 bikes at $85.00 each and 4 helmets at $25.50 each.

Answers

Answer:

85x7+ 25.50x4  

Step-by-step explanation:

85x7 + 25.50x4
You multiply and then add them up. Hope this helps

Jupiter takes about 12 earth years to revolve around the sun

Answers

Answer:

Yess correct but what is full question

Please help!

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.

a. -4 and 4b + 4
b. 3x and 1 -3x

Answers

Answer:

Does this problem have a picture, I just need to make sure I am seeing everything correctly thanks!

Step-by-step explanation:

a. -4 and 4b + 4 = 4b

-4 and 4b + 4 = -4 + (4b + 4) = 4b + (4 - 4) = 4b + 0 = 4b

b. 3x and 1 - 3x = 1

3x and 1 - 3x = 3x + (1 - 3x) = 1 + (3x - 3x) = 1 + 0 = 1

Find the value of x

A.55

B.60

C.85

D.120

Answers

Answer:

A

[tex]x + 125° = 180° \: \: (angles \: on \: straight \: line) \\ x = (180 - 125)° \\ x = 55°[/tex]

Is this right???

I give Brainliest !

Answers

Answer:

It is right

Step-by-step explanation:

good job whatever your name is! you are very smart

Can someone help me find the solution?

Answers

Answer:

Solution: y=2

What number should go in the space?
Multiplying by 1.15 is the same as increasing by _____%.

Answers

Answer:

115%

Because to get a percent from a decimal you multiply by 100 so you move the decimal twice to the right

Cheryl took her family to the movies and purchased 3 child tickets and 4 adult tickets for $69. Tyrone purchased 3 adult tickets for $36. Let x represent the cost of a child ticket (in dollars) and y represent the cost of an adult ticket (in dollars). Use a graph to find the cost of a child movie ticket and the cost of an adult movie ticket.

Answers

Answer:

Child ticket = $7, adult ticket = $12

Step-by-step explanation:

3 child tickets and 4 adult tickets for $69:

3x + 4y = 69

3 adult tickets for $36:

3y = 36

Graph is attached

As per graph, x = 7, y = 12

Child ticket = $7, adult ticket = $12

1/3 divided by 4 = what

Answers

Answer:

1/12

Step-by-step explanation:

I divided

1/12 4 divided by 3 equals 12 so hope that helps.

Stephanie bought 5 bananas for 1.25. How much would 13 bananas cost? please answer as soon as possible

Answers

13 bananas would cost 3.25

Answer:

$3.25

Step-by-step explanation:

$1.25/5=$0.25 per banana

0.25x13=$3.25 for all 13 bananas

What is the value of x?

Answers

Step-by-step explanation:

i hope u got it ....

thank u!!

PLS HELP ON TIMER! I'll mark brainliest once I learn how to​

Answers

Answer:

3/9

Step-by-step explanation:

Answer:

3/9

Step-by-step explanation:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get 3/9

Hope this helps!!

PLEASE HELP ASAP !! WILL GIVE BRAINLIEST

Answers

Answer:

Last one

Step-by-step explanation:

Since it’s a right triangle with 30, 60, and 90 as it degrees, it’s only logical that the second choice is the best choice because if you look at the photo below one side will have square root of 3 with a coefficient, while the other side is just the number by itself.
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