Question

If x + 1 is a factor of px3 + x2 – 2x + 4p – 9, then find the value of p

Answer 1

Answer:

x = -1

p(-1)^3 + (-1)^2 -2(-1) + 4p - 9 = 0

-p + 1 + 2 + 4p -9 = 0

-p + 3 + 4p - 9 = 0

-p + 4p - 9 + 3 = 0

-p + 4p - 6 = 0

3p - 6 = 0

3p = 6

p = 2