Question
One factor of $x^4 + x^2 - 20$ is $x^2 + 5$. The other factor is:
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Answer
$x^4 + x^2 - 20$
$= x^4 + 5x^2 - 4x^2 - 20$
$=x^2(x^2 + 5) - 4(x^2 + 5)$
$= (x^2 + 5)(x^2 - 4)$
So$,$ other factor is $x^2 - 4.$
$= x^4 + 5x^2 - 4x^2 - 20$
$=x^2(x^2 + 5) - 4(x^2 + 5)$
$= (x^2 + 5)(x^2 - 4)$
So$,$ other factor is $x^2 - 4.$
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