Factor
\left(x+3y+4\right)\left(2x+y+1\right)
Evaluate
\left(x+3y+4\right)\left(2x+y+1\right)
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2x^{2}+\left(7y+9\right)x+3y^{2}+7y+4
Consider 2x^{2}+7xy+3y^{2}+9x+7y+4 as a polynomial over variable x.
\left(2x+y+1\right)\left(x+3y+4\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 2x^{2} and n divides the constant factor 3y^{2}+7y+4. One such factor is 2x+y+1. Factor the polynomial by dividing it by this factor.
Examples
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