Question

Factorize the expressions and divide them as directed :
$(p^2+5p+4)÷(p+1)$

Answer 1

Given that,

$\left(p^2+5p+4\right)÷\left(p+1\right)$

Now,

$\begin{array}{c}\left(p^2+5p+4\right)÷\left(p+1\right)\\ =\frac{\left(p^2+5p+4\right)}{\left(p+1\right)}\\ =\frac{p\left(p+4\right)\left(p+4\right)}{p+1}\\ =\frac{\left(p+1\right)\left(p+4\right)}{p+1}\\ =p+4\end{array}$

Hence,

We get $p+4$