Question

If $$f(x) = 4x^3 - 3x^2 + 5$$ is divided by $$(2x + 1)$$, then the remainder is ______.

Options

• $$-\frac{15}{4}$$

• $$-\frac{9}{4}$$

• $$-\frac{5}{4}$$

• $$\frac{15}{4}$$

Answer 1

If $$f(x) = 4x^3 - 3x^2 + 5$$ is divided by $$(2x + 1)$$, then the remainder is `underlinebb(15/4)`.

Explanation:

The zero of $$2x + 1$$ is $$-\frac{1}{2}$$ and $$f(-\frac{1}{2}) = -\frac{1}{2} - \frac{3}{4} + 5 = \frac{15}{4}$$.