Question

Using Remainder Theorem, find the remainder when $$f(x) = 5x^3 - 12x^2 + 17x - 6$$ is divided by $$(x - 1)$$.

Answer 1

By the Remainder Theorem, the remainder is $$f(1)$$.

$$f(1) = 5(1)^3 - 12(1)^2 + 17(1) - 6$$

$$= 5 - 12 + 17 - 6$$

$$= 4$$

Hence, the remainder is $$4$$.