Question

Find the value of c so that the polynomial p(x) is divisible by (x – 3).

p(x) = -x3 + cx2 - 4x + 3

с=

Answer 1

c = 4

Explanation:

p(x) is divisible by (x - 3).

So, p(3) = 0

-(3)³ + c(3)² - 4 *3 + 3 = 0

-27 + 9c - 12 + 3 = 0

9c - 36 = 0

9c = 36

c = 36/9

c = 4