12x^2 + ax -20
if 3x + 4 is a factor of the expression above, what is the value of a?

1

Step-by-step explanation:

(3x + 4)(px + q) = 12x^2 + ax - 20

3px^2 + 3qx + 4px + 4q = 12x^2 + ax - 20

3px^2 = 12x^2

p = 4

4q = -20

q = -5

px + q = 4x - 5

(3x + 4)(4x - 5) =

= 12x^2 - 15x + 16x - 20

= 12x^2 + x - 20

= 12x^2 + ax - 20

ax = x

a = 1

i think that The correct answer is 1. It is given that one factor of the quadratic expression is 3x + 4. Thus, 12x2 + ax − 20 = (3x + 4)(mx + p), where a, m, and p are integers.

c

step-by-step explanation:

at least i think its