Factor
\left(-x+a^{2}-7\right)\left(x+a^{2}+1\right)
Evaluate
\left(-x+a^{2}-7\right)\left(x+a^{2}+1\right)
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a^{4}-6a^{2}-7-8x-x^{2}
Consider a^{4}-6a^{2}-7-8x-x^{2} as a polynomial over variable a.
\left(x+a^{2}+1\right)\left(-x+a^{2}-7\right)
Find one factor of the form a^{k}+m, where a^{k} divides the monomial with the highest power a^{4} and m divides the constant factor -x^{2}-8x-7. One such factor is x+a^{2}+1. Factor the polynomial by dividing it by this factor.
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