Question

Use the remainder theorem

Answer 1

Step 1:

The function is .

The function is divided by .

Remainder theorem:

When you divide a polynomial by the remainder will be .

Using remainder theorem, the remainder of is .

The remainder of is .

Step 2:

Factor theorem:

when then is a factor of polynomial.

Let is a  factor of then .

then is not a factor of .

Solution:

The remainder of is .

is not a factor of .