Question

Fill in the blank: When dividing a polynomial by a binomial, the remainder theorem can be used without having to apply --------- division.

Answer 1

Step-by-step explanation:

From the remainder theorem, we can get the remainder of a polynomial division by a linear polynomial.

All we have to do is to equate the linear polynomial to zero, then susbtitute the zero value into the polynomial. If the linear polynomial is a root, then zero will be the remainder, if not, we will have a value.

This is otherwise achievable by long division. This process is however more cumbersome and prone to error

The correct words to fill into the blank is thus; "Long"