Question

Which expression is a factor of 28x^2 + 29x - 35? A. 4x - 7. B. 7x + 4 C. 7x-5 D. 7x + 5

Answer 1

Answer:

C. 7x-5

Explanation:

Given the expression:

$28x^2+29x-35$

To determine the factor, we first factorize the expression.

$\begin{gathered} 28x^2+29x-35 \\ =28x^2-20x+49x-35 \\ =4x(7x-5)+7(7x-5) \\ =(4x+7)(7x-5) \end{gathered}$

Therefore, the expression that is a factor is 7x-5.

The correct choice is C.