Question

Identify the GCF and then factor the expression
5x^5+10x^4 -15c^3+10x^2

Answer 1

i think that the GCF is x^3

Answer 2

the 15c should be 15x

Answer 3

Is that supposed to be -15x^3 or -15c^3?

First look at the coeffeicients (the numbers): 5, 10, -15, 10
What is the common factor between them?

Now look at the variable part: x^5, x^4, x^3, x^2
What factor do they have in common?

Answer 4

Ok, I figured that.

Answer 5

i would say the GCF is 5... @mathstudent55 what do u think?? is it 5 right?? cuz 5 is the largest thing that is in EVERY single component of the equation..

Answer 6

five is the common factor in all and x for the varible

Answer 7

oh then nvm sorry just read the above thing... so GCF should be 5x^2 right??

Answer 8

The GCF is made up of a number part and a varaible part.
5 is the number part.
What is the variable part? How many x's do all terms have?

Answer 9

yes, just follow what @mathstudent55 is saying ;) its all correct.. like his/her instructions

Answer 10

All terms have at least x^2, so GCF is 5x^2

Answer 11

so we have the gcf now I have to factor the expression

Answer 12

exactly :)

Answer 13

need help with that

Answer 14

so based off of this, you can first factor out the GCF... do u understand what that means??

Answer 15

so we can 5x^2(all the rest of the expression)

Answer 16

yup :) after that, what do you get?

Answer 17

heat do you have skype
'

Answer 18

5x^5+10x^4 -15c^3+10x^2 =
5x^2(_______
What is 5x^5 divided by 5x^2?

Answer 19

no i don't.. sorry!!! all i have is OS and email lol

Answer 20

i c

Answer 21

5x^3

Answer 22

Answer: x^3
5x^5+10x^4 -15c^3+10x^2 =
5x^2(x^3 ________
What is 10x^4 divided by 5x^2?

Answer 23

@vortish, your GCF is 5x^2... and u divide, so like @mathstudent55 said, ur first part will be x^3 :)

Answer 24

5x*2(x^3 + x^2 - x +0)

Answer 25

Answer: 2x^2
5x^5+10x^4 -15x^3+10x^2 =
5x^2(x^3 + 2x^2 ________
What is -15x^3 divided by 5x^2?

Answer 26

5x*2(x^3+5x^2-3x +2)

Answer 27

Answer: -3x
5x^5+10x^4 -15x^3+10x^2 =
5x^2(x^3 + 2x^2 - 3x _______)
What is 10x^2 divided by 5x^2?
Answer: 2, so
5x^5+10x^4 -15x^3+10x^2 =
5x^2(x^3 + 2x^2 - 3x +2)
@vortish Look at you second term inside the parenthses.

Answer 28

yup thats right haha :)

Answer 29

so i miss typed it it should be 5x^2(x^3+2x^2-3x +2)

Answer 30

that is correct!

Answer 31

and that is it for the factoring or do we have to simplify it its does not ask

Answer 32

thats as simplified as it can get.. right @mathstudent55 ?