Question

Factorise $p^2+6p+8$.

Answer 1

Factorize the quadratic equation.

Split the middle term and take out the common factor from the equation

$\begin{array}{rcl}& \Rightarrow & p^2+4p+2p+8=p\left(p+4\right)+2\left(p+4\right)\\ & =& \left(p+2\right)\left(p+4\right)\end{array}$

Hence, factors of the quadratic equation $p^2+6p+8$ are $\left(p+2\right)$ and $\left(p+4\right)$.