If 4(z + 7) (2z - 1) = Az2 + Bz + C, then the value of A + B + C is:
Answer & explanation
Correct answer: option 2
4(z + 7)(2z – 1) = Az2 + Bz + C
Simplifying the left-hand side of the given equation,
4(z + 7)(2z – 1) = 8z2 + 52z - 28
On comparing this expression with the right-hand side of the given equation,
A = 8, B = 52 and C = -28
A + B + C = 8 + 52 - 28 = 32