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December 20, 2014

December 20, 2014

Posted by **Algebra 2** on Thursday, April 2, 2009 at 9:22pm.

X^4-13X^2+36

How do I factor this using algebra not just gussing and checking this times this and what number plus what number gives you these numbers

how do i factor that wihtout playing one of those games were you like guess and check your like taught in nineth grade thanks

- Algebra 2 -
**Reiny**, Thursday, April 2, 2009 at 10:28pmpart of the "game" that I play is to realize that both brackets have to start with x^2 to have x^4 at the front and x^2's in the middle, so ...

(x^2 - ...)(x^2 - ...)

looking at the +36 at the end, I know my 2 numbers must both have the same sign, since I see a negative in the middle, they must be negative.

Now what two factors of 36 have a sum of 13

Gee, my game tells me it must be 9 and 4

so

(x^2 - 9)(x^2 - 4)

at this point you have to recognize the difference of square for both of those.

final result:

(x+3)(x-3)x+2)x-2)

thanks for playing.

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