If 4x2 - 6x - m is divisible by x - 3, the value of m is exact divisor ofa.9b.45c.20d.36

To determine the value of m, we need to use the factor theorem. According to the factor theorem, if a polynomial is divisible by x - c, then the polynomial evaluated at c will be equal to zero.

In this case, we are given that 4x^2 - 6x - m is divisible by x - 3. So, we can set x - 3 equal to zero and solve for x:

x - 3 = 0 x = 3

Now, we substitute x = 3 into the polynomial:

4(3)^2 - 6(3) - m = 0 36 - 18 - m = 0 18 - m = 0 m = 18

Therefore, the value of m is 18.