Question

For what value of $$k$$ is the polynomial $$f(x) = 2x^3 - kx^2 + 3x + 10$$ exactly divisible by $$(x + 2)$$?

Options

• 3

• –3

• $$-\frac{1}{3}$$

• – 4

Answer 1

–3

Explanation:

$$f(-2) = -16 - 4k - 6 + 10 = 0$$, hence $$k = -3$$.