What value of g makes the equation true? (x+7)(x-4)=x^2+gx-28

Answer 1

Simplify (x+7)(x-4)

distributing x gives x^2 - 4x; distributing +7 gives 7x - 28

adding gives

(x^2 - 4x) + (7x - 28)

combining like terms gives

x^2 + 3x - 28, so g = 3

Answer is g = 3