Factor
\left(2w^{4}+3\right)\left(3w^{4}+4\right)
Evaluate
6w^{8}+17w^{4}+12
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\left(2w^{4}+3\right)\left(3w^{4}+4\right)
Find one factor of the form kw^{m}+n, where kw^{m} divides the monomial with the highest power 6w^{8} and n divides the constant factor 12. One such factor is 2w^{4}+3. Factor the polynomial by dividing it by this factor. The following polynomials are not factored since they do not have any rational roots: 2w^{4}+3,3w^{4}+4.
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