Ask Me Help Desk - Factoring quartic functions

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factoring quartic functions

factor fully

f(x) = x^4 - 5x^2 + 4

Let $u=x^{2}$

Then, we get $u^{2}-5u+4$

Now, factor the quadratic and resub.

$u^{2}-5u+4=(u-4)(u-1)$

Since $u=x^{2}$ , resub:

$(x^{2}-4)(x^{2}-1)$

Note the difference of two squares in both.

$(x+2)(x-2)(x+1)(x-1)$

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