Question

For what value of k, the polynomial p(x) =2x^3-kx^2+5x+9 is exactly divisible by (x+2)

Answer 1

Answer:

k = -17/4

Step-by-step explanation:

x+2 = 0

x = -2;

2x³ - kx² + 5x + 9 = 0

2×(-2)³ - k(-2)² + 5×-2 + 9 = 0

2×-8 - 4k - 10 + 9 = 0

-16 - 4k -10 +9 = 0

-4k - 17 = 0

- 4k = 17

k = -17/4