Factor

To go about the first one please show me the steps. Thanks

1.$\displaystyle (x+5)^4(x-9)^3+(x+5)^4(x-9)^4$

$\displaystyle (x+5)^4(x-9)^3[(1)+(x-9)]$?

2.$\displaystyle x^4-15x+144$

Prime?

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- Jul 5th 2011, 04:35 PMtheloserFactoring
Factor

To go about the first one please show me the steps. Thanks

1.$\displaystyle (x+5)^4(x-9)^3+(x+5)^4(x-9)^4$

$\displaystyle (x+5)^4(x-9)^3[(1)+(x-9)]$?

2.$\displaystyle x^4-15x+144$

Prime? - Jul 5th 2011, 04:39 PMpickslidesRe: Factoring
- Jul 5th 2011, 04:44 PMtheloserRe: Factoring
- Jul 5th 2011, 04:48 PMAlso sprach ZarathustraRe: FactoringQuote:

2.$\displaystyle x^4-15x+144$

Prime?

$\displaystyle x^4>15x-144$ for all x in R ===> no factorization over R. - Jul 5th 2011, 04:49 PMAlso sprach ZarathustraRe: Factoring
- Jul 5th 2011, 05:22 PMtheloserRe: Factoring
I think its prime.

- Jul 5th 2011, 05:31 PMQuackyRe: Factoring
See the graph.

Not that you needed confirmation, but the discriminant (once you've made Zach's substitution) would have told you at a glance.