# How do you evaluate #f(x)=-x^4+x^3-x+1# at x=-3 using direct substitution and synthetic division?

##### 1 Answer

#### Answer:

-104 by both means shown below.

#### Explanation:

**Direct Substition**

The potential headaches with direct substituion mainly fall in making sure you properly handle all negatives without making any mistakes.

**Synethetic Division**

For synthetic division, we use the value -3 as the "outside" value and "divide" by that value following the pattern of synthetic division. The final remainder value (the last value on the bottom row) will be the value of

The potential headaches with synthetic division fall in forgetting to include a 0 coefficient for the missing