How does

$\displaystyle 1 - 9x^{2} + 24x^{4} - 16x^{6}$

become

$\displaystyle (1 - x^{2})(16x^{4} - 8x^{2} + 1)$ ?

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- Nov 10th 2012, 03:45 PMJason76Factoring Problem
How does

$\displaystyle 1 - 9x^{2} + 24x^{4} - 16x^{6}$

become

$\displaystyle (1 - x^{2})(16x^{4} - 8x^{2} + 1)$ ? - Nov 10th 2012, 04:02 PMPlatoRe: Factoring Problem
- Nov 10th 2012, 04:04 PMchiroRe: Factoring Problem
Hey Jason76.

You might want to look at this:

Rational root theorem - Wikipedia, the free encyclopedia - Nov 10th 2012, 04:34 PMJason76Re: Factoring Problem
$\displaystyle 1 - 9x^{2} + 24x^{4} - 16x^{6}$

Pulling out x^{2}

$\displaystyle 1 - [x^{2}(9 + 24x^{2} - 16x^{4})]$

$\displaystyle (1 - x^{2})(9 + 24x^{2} - 16x^{4})$

After that, nothing in the right linear has any common factor, so you can't do anymore. But that's not the final answer. - Nov 10th 2012, 04:55 PMPlatoRe: Factoring Problem
- Nov 10th 2012, 05:03 PMJason76Re: Factoring Problem
- Nov 10th 2012, 05:17 PMPlatoRe: Factoring Problem
- Nov 11th 2012, 02:32 AMPetrusRe: Factoring Problem