Question

If f(v) = 9v² - 28v + 19, use synthetic division to find f(3).

Answer 1

Answer: To use synthetic division to find f(3), we will divide the polynomial 9v² - 28v + 19 by v - 3.

Here's the process:

| 9 -28 19|

v-3|____________|

9(3)² - 28(3) + 19

| 9 -84 57|

0 -96 38

So, f(3) = 9(3)² - 28(3) + 19 = 9(9) - 28(3) + 19 = 81 - 84 + 19 = -4 + 19 = 15.

So f(3) = 15.

Explanation: