Question

Solve the following quadratic equation by the factorization method:
$p^2+10p+24=0$

Answer 1

The given equation is
$p^2+10p+24=0$
$\Rightarrow p^2+4p+6p+24=0$
$\Rightarrow p(p+4)+6(p+4)=0$
$\Rightarrow (p+4)(p+6)=0$
$\Rightarrow p=-6,-4$