Factor
-x\left(7-x^{2}\right)^{2}
Evaluate
-x\left(7-x^{2}\right)^{2}
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x\left(14x^{2}-49-x^{4}\right)
Factor out x.
\left(x^{2}-7\right)\left(-x^{2}+7\right)
Consider 14x^{2}-49-x^{4}. Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power -x^{4} and n divides the constant factor -49. One such factor is x^{2}-7. Factor the polynomial by dividing it by this factor.
x\left(x^{2}-7\right)\left(-x^{2}+7\right)
Rewrite the complete factored expression. The following polynomials are not factored since they do not have any rational roots: x^{2}-7,-x^{2}+7.
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