Question

Find the value of ‘k’ for which (x – 2) is a factor of 2x3 – x 2 + 5x + k​

Answer 1

Answer:

Given that, (x+2) is a factor of p(x).

p(x) = 2x³ - 5x + k

p(-2) = 0

2(-2)³ - 5(-2) + k = 0

-16 + 10 + k = 0

k = 6