Question

Using Remainder Theorem, find the remainder when $$f(x) = 3x^2 - 5x + 7$$ is divided by $$(x - 2)$$.

Answer 1

By the Remainder Theorem, the remainder is $$f(2)$$.

$$f(2) = 3(2)^2 - 5(2) + 7$$

$$=12 - 10 + 7$$

$$=9$$

Hence, the remainder is $$9$$.