Precalc Question

Question

Given the function f(x) = x3 + 2x2 – 5x – 6, use synthetic division to find the value of f (– 2).

1. 4
2. −4
3. 2
4. 0

Answer 1

By Rermainder Theorem f(-2) equel remainder of devision f(x) by (x - (-2)) .

Using synthetic division we get

-2 |1 2 -5 -6

-2 0 10

1 0 -5 4

Remainder is 4. Then f(-2) = 4

Answer 2