Factor
\left(x+6\right)\left(x+p+1\right)
Evaluate
\left(x+6\right)\left(x+p+1\right)
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x^{2}+\left(7+p\right)x+6+6p
Consider x^{2}+7x+6+px+6p as a polynomial over variable x.
\left(x+6\right)\left(x+p+1\right)
Find one factor of the form x^{k}+m, where x^{k} divides the monomial with the highest power x^{2} and m divides the constant factor 6p+6. One such factor is x+6. Factor the polynomial by dividing it by this factor.
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