# Synthetic Substitution

How to use the synthetic substitution to find the function value: examples and their solutions.

## Example 1

Instead of putting 7 into *f*(*x*),

use the synthetic division.

(divisor's zero: 7)

The remainder is 8.

Then, by the remainder theorem,*f*(7) = 8.

## Example 2

Instead of putting 3 into *f*(*x*),

use the synthetic division

(divisor's zero: 3)

The remainder is 1.

Then, by the remainder theorem,*f*(3) = 1.