Question

In the division of a cubic polynomial $$f(x)$$ by a linear polynomial, the remainder is $$f(-2)$$, then the divisor must be ______.

Options

• $$(x - 2)$$

• $$(x + 2)$$

• $$(2x + 1)$$

• $$(2x - 1)$$

Answer 1

In the division of a cubic polynomial $$f(x)$$ by a linear polynomial, the remainder is $$f(-2)$$, then the divisor must be (x + 2).

Explanation:

A remainder of $$f(-2)$$ corresponds to the divisor $$x - (-2) = x + 2$$.