Question

2x^{2} + 20x + 48Completely factor the given polynomial, if possible. If the polynomial cannot be factored write "not factorable".

Answer 1

Given:

$2x^2+20x+48$

To find the factors:

The given equation can be written as,

$\begin{gathered} 2x^2+20x+48=2x^2+8x+12x+48 \\ =2x(x+4)+12(x+4)_{} \\ =(x+4)(2x+12)_{} \\ =2(x+4)(x+6) \end{gathered}$

Hence, the factors are 2,(x+4), and (x+6).