Question

Find the value of m if polynomial p(x) = 4x2 – 6x – m is exactly divisible by x – 3.

Answer 1

Since p(x) is exactly divisible by x – 3, then p(3) = 0.

Plugging in x = 3 into p(x), we get

4(3)2 – 6(3) – m = 0

36 – 18 – m = 0

m = 18

Therefore, the value of m is 18.

Explanation: