I need help factoring

I tried it by grouping

Then I got

Thus my final answer was

From there, I had no clue what to do. My text book says the correct answer is but I just have no clue how they got there.

Any help would be appreciated, thanks.

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- Mar 27th 2013, 09:52 PMReneGFactoring a polynomial
I need help factoring

I tried it by grouping

Then I got

Thus my final answer was

From there, I had no clue what to do. My text book says the correct answer is but I just have no clue how they got there.

Any help would be appreciated, thanks. - Mar 27th 2013, 10:33 PMMINOANMANRe: Factoring a polynomial
Reneg

continue the factorization process. and factorize the (x^3-1) it will give you (x-1)(x^2+x+1). therefore the polynomial after factorization becomes

(x^2+2)(x-1)(x^2+x+1).

now how to factorize the x^3-1 ..the (x-1) is a factor of the polynomial x^3 -1 therefore dividing by (x-1) or simply use Horner's method

(Horner's method - Wikipedia, the free encyclopedia ) you will get the result .

MINOAS - Mar 30th 2013, 02:37 PMReneGRe: Factoring a polynomial
I just don't see how you can factor out from because there is no greatest common factor other than 1

- Mar 30th 2013, 02:46 PMPlatoRe: Factoring a polynomial
- Mar 30th 2013, 04:05 PMHallsofIvyRe: Factoring a polynomial
Do you know how to

**multiply**polynomials? What do you get when multiply ? - Mar 30th 2013, 05:49 PMReneGRe: Factoring a polynomial
Oh wow, completely forgot about that rule. Seeing 1 as a cube root of 1 wasn't really intuitive for me at first, thanks!