Question

If $$(x^2 + ax + b)$$ is divided by $$(x + c)$$, then the remainder is ______.

Options

• $$-c^2 + ac + b$$

• $$c^2 + ac + b$$

• $$c^2 - ac - b$$

• $$c^2 - ac + b$$

Answer 1

c² – ac + b

Explanation:

The remainder on division by $$x + c$$ is $$f(-c) = (-c)^2 + a(-c) + b = c^2 - ac + b$$.