Factor
\left(w^{2}+1\right)\left(w^{2}+24\right)
Evaluate
\left(w^{2}+1\right)\left(w^{2}+24\right)
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\left(w^{2}+24\right)\left(w^{2}+1\right)
Find one factor of the form w^{k}+m, where w^{k} divides the monomial with the highest power w^{4} and m divides the constant factor 24. One such factor is w^{2}+24. Factor the polynomial by dividing it by this factor. The following polynomials are not factored since they do not have any rational roots: w^{2}+1,w^{2}+24.
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