Question

2x^2+9x+7 Factor:(________________________) (_________________)

Answer 1

(2x+7)(x+1)

Step-by-step explanation:

Given the quadratic expression:

`2x^2+9x+7`

First, multiply the first and last term:

`2x^2*7=14x^2`

Next, find factors of 14x² that adds up to the middle term: 9x

`2x+7x=9x`

Therefore:

`\begin{gathered} 2x^2+9x+7=2x^2+2x+7x+7 \\ =2x(x^{}+1)+7(x+1) \\ =(2x+7)(x+1) \end{gathered}`