Express the polynomial as a product of linear factors.
f(x)=2x^3+4x^2-2x-4

Question

Express the polynomial as a product of linear factors.
f(x)=2x^3+4x^2-2x-4

cwrw238 · Answer

factor  in pairs  first 2 and second 2

ria23 · Answer

How do I know which is the first and the second...

akashdeepdeb · Answer

$$f(x)=2x^3+4x^2-2x-4$$
Factorize!
$$2x^3 + 4x^2 - 2x - 4 = 2x^2(x+2) - 2(x+2) = (2x^2 - 2)(x+2) = 2(x^2-1)(x+2) = 2(x+1)(x-1)(x+2)$$

cwrw238 · Answer

Akash has done it for you...

ria23 · Answer

:O Oh! Oh I get it... >u<

cwrw238 · Answer

you can take the 2 out of first barackets
so  we have
2(x^2 - 1)(x + 2)
now first bracket is difference of 2 squares;-

= 2(x-1)(x+1)(x + 2)

ria23 · Answer

Oh... I see it now.... c: 
I was confused on where the x+1 came from... I kind of get it now...

ria23 · Answer

Hey cwcw, can I ask yhu to medal akash so both of yhu can get a medal? ;o

akashdeepdeb · Answer

Relax! I am not here to help you for medals. Understand the question and I am sure it'll please me.

cwrw238 · Answer

yes - but i gave you a medal anyway

ria23 · Answer

Haha, I know, most aren't... I just want yhu to know that I appreciate yhur help! Yhu and cwcw. Thank yhu guys for showing me how to do it. c: