Question

Factor:
4x^5+8x^4-12x^3+8x^2
The GCF is 4x^2

Answer 1

good start, pull the GCF out.

Answer 2

4x(x^4+12x+8) ???

Answer 3

That does not feel right.

Answer 4

OR......4x(x^4+2x-3+2x)

Answer 5

4x^5+8x^4-12x^3+8x^2

if u pull out 4x^2 from each term,

4x^2(x^3 + 2x^2 - 3x + 2)

Answer 6

This is where I get lost.

Answer 7

thats it i guess we cant factor it further

Answer 8

So factoring 4 trinomials is different than factoring 3

Answer 9

hmm yes i think, but may i knw how u see it is different ?

Answer 10

When doing 3 dont we need to find two numbers whose product is ____ and sum is ____?

Answer 11

Here we divide the 4 by 8,12 and 8 right?

Answer 12

ah yes, that one is quite easy,

but it wont work when factoring 4 terms.

Answer 13

Ohhhh That's where I got confused.

Answer 14

it works only when you have a quadratic equation with 3 terms,

our present problem is very simple, we just factor the GCF and leave it there ;)

Answer 15

Awww got it! I made it harder than it was.

Answer 16

im very much glad u made it hard for urself, coz u knw the difference now, u knw where it works, and where it doesnt clearly now ;p

Answer 17

The same with this one......2x^3+16x^2+2x+16 GCF 2x Just factor it out.....

Answer 18

GCF is not 2x

Answer 19

oops no x in the 16 GCF is 2

Answer 20

yea so pull that out and lets see, if we can factor further,

Answer 21

2x^3+16x^2+2x+16

2(x^3 + 8x^2 + x + 8)

Answer 22

right ?

Answer 23

next, lets see if we can factor it further..