Question

The polynomial px^3 —2x^2 —3x—6 is exactly divisible by x—1. The value of p is:

Answer 1

Step-by-step explanation:

x - 1 = 0

x = 1

p(x) = px^3 - 2x^2 - 3x - 6

p(1) = p.(1)^3 - 2.(1)^2 - 3.(1) - 6

= p - 2 - 3 - 6 = 0

= p - 11 = 0

= p = 0 + 11

= p = 11