Question

Factor each expression. Problem: 2p^3 + 6p^2 + 3p + 9 Answer: (p + 3) (2p2 + 3)

Answer 1

Factor by grouping
$2p^3 + 6p^2 + 3p + 9$
$2 p^3+6 p^2+3 p+9=\left(2 p^3+6 p^2\right)+(3 p+9)=\left(2 p^2\right) (p+3)+3 (p+3)$
$2 p^2 (p+3)+3 (p+3)$
$(p+3) \left(2 p^2+3\right)$