The value of m so that 4x square - 6x - m is divisible by x-3, is exact divisor of

a. 9

b. 45

c.20

d.36

Let: f (x) = 4x² – 6x – m is divisible by x – 3

⇒ f (3) = 0

⇒36 – 18 – m = 0

⇒ m = 18

Which is an exact divisor of 36

So, the correct option is (d)