Factor
\left(3v^{2}+5\right)\left(v^{2}+7\right)
Evaluate
\left(3v^{2}+5\right)\left(v^{2}+7\right)
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3v^{4}+26v^{2}+35
Multiply and combine like terms.
\left(3v^{2}+5\right)\left(v^{2}+7\right)
Find one factor of the form kv^{m}+n, where kv^{m} divides the monomial with the highest power 3v^{4} and n divides the constant factor 35. One such factor is 3v^{2}+5. Factor the polynomial by dividing it by this factor. The following polynomials are not factored since they do not have any rational roots: 3v^{2}+5,v^{2}+7.
3v^{4}+26v^{2}+35
Combine 21v^{2} and 5v^{2} to get 26v^{2}.
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