Question

Using Remainder Theorem, find the remainder when $$f(x) = 2x^3 - 5x^2 + 3x - 10$$ is divided by $$(x - 3)$$.

Answer 1

By the Remainder Theorem, the remainder is $$f(3)$$.

$$f(3) = 2(3)^3 - 5(3)^2 + 3(3) - 10$$

$$= 54 - 45 + 9 - 10$$

$$= 8$$

Hence, the remainder is $$8$$.