Find the remainder when f(x) = x3 − 14x2 51x − 22 is divided by x − 7.

We can use at least two approaches in answering this question. But the easiest way is to use the

According to the Remainder Theorem, if

is not a factor of

then evaluating the function at

gives us the Remainder when

is divided by

That is


For the given question, we have


When this function is divided by

The remainder is given by