Is this factorable???

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Feb 8, 2006
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The directions say to factor but I am not sure if the problem is factorable or not.Any directions or advice would be fully appreciated.


Here is the problem: 18+7x^2-x^4




Thank you for putting your time and effort in helping me with this problem. :D
 
the expression is quadratic in x<sup>2</sup> ...

let u = x<sup>2</sup>

18 + 7x<sup>2</sup> - x<sup>4</sup> = 18 + 7u - u<sup>2</sup>

the right side will factor ... back substitute x<sup>2</sup> for u when you're done.
 
JOSE JAIME-RODRIGUEZ said:
The directions say to factor but I am not sure if the problem is factorable or not.Any directions or advice would be fully appreciated.
Here is the problem: 18+7x^2-x^4
Start by changing the signs (or multiplying by -1):
x^4 - 7x^2 - 18 ; now simply factor:
(x^2 - 9)(x^2 + 2)
 
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