Question

Factor using decomposition. 2x^2 + 3x - 9

Answer 1

Given

$2x^2+3x-9$

Find

factors of given equation

Explanation

$\begin{gathered} 2x^2+3x-9 \\ =2x^2+6x-3x-9 \\ =2x(x+3)-3(x+3) \\ =(2x-3)(x+3) \end{gathered}$

Final Answer

(2x - 3)(x + 3)