Remainder Theorem Continued

Synthetic Division:

Long Division:

Direct Substitution:

1) Input the equation's coefficients.

2) Put the 4 into the top left corner.

3) Drop the first coefficient number.

4) Multiply it by the 4 in the corner.

put it into the next slot.

5) Add the top coefficient with the multiplied number.

First, solve for x with the dividing expression

Since the remainder is 0, it shows that x-4 is a factor of the polynomial function.

Set the equation up into a normal long division set up.

The remainder is 0. Showing that x-4 is a factor of the polynomial function.

First, solve for x with the dividing expression.

Since f(4)=0, the remainder is 0 meaning that x-4 is a factor of the polynomial function.