Question

When $$2x^2 - 3kx + k$$ is divided by $$(x + 2)$$, then the remainder obtained is 5. The value of $$k$$ is ______.

Options

• $$-\frac{2}{5}$$

• $$-\frac{3}{5}$$

• $$-\frac{3}{7}$$

• $$-\frac{5}{7}$$

Answer 1

When $$2x^2 - 3kx + k$$ is divided by $$(x + 2)$$, then the remainder obtained is 5. The value of $$k$$ is `underlinebb(-3/7)`.

Explanation:

$$f(-2) = 8 + 7k = 5$$, hence $$k = -\frac{3}{7}$$.