Question

What value of g makes the equation true ?

(X+7)(x-4)=x²+gx-28
a. –11
b. –3
c. 3
d. 11

Answer 1

The value of g that makes the equation true is 3.

Step-by-step explanation:

To find the value of g that makes the equation true, we need to expand and simplify the left side of the equation. The expanded form of (x+7)(x-4) is x^2 + 3x - 28. Comparing this to the right side of the equation, which is x^2 + gx - 28a, we can see that the coefficient of x is 3 on the left side and g on the right side. Therefore, the value of g that makes the equation true is 3 (option c).