# How do you use the remainder theorem and synthetic division to find k=2; #f(x)=-5x^5-5x^3-2x^2+2#?

##### 1 Answer

Feb 15, 2017

Remainder Theorem says the remainder in a synthetic division will be

#### Explanation:

Using Synthetic Division:

- Put each coefficient including missing coefficients in the first row
- Drop the first coefficient down
- Multiply this coefficient by the multiplier
#k=2# and place in the second row below the 2nd coefficient - Add the two rows.
- Repeat steps 3 & 4 until finished.
- The last sum is the remainder
#-206#