Answer:
(2x+7)(x+1)
Explanation:
Given the quadratic expression:
[tex]2x^2+9x+7[/tex]First, multiply the first and last term:
[tex]2x^2\times7=14x^2[/tex]Next, find factors of 14x² that adds up to the middle term: 9x
[tex]2x+7x=9x[/tex]Therefore:
[tex]\begin{gathered} 2x^2+9x+7=2x^2+2x+7x+7 \\ =2x(x^{}+1)+7(x+1) \\ =(2x+7)(x+1) \end{gathered}[/tex]