Question

Kristina used synthetic division to divide the polynomial f(x) by x−2, as shown on the table.

What is the value of f(2)?



Responses

−14
negative 14

−11
negative 11

−2
negative 2

−1
negative 1
A synthetic division setup with respective columns containing the following numbers column 1 containing two as a divisor, column 2 containing negative 1, blank and negative 1, column 3 containing negative 5, negative 2, negative 7, and column 4 containing three, negative 14, negative 11.There is a line above the numbers negative 1, negative 7 and negative 11.

Answer 1

The bottom right entry is the remainder of the synthetic division. Using c = 2, the remainder is −11, so f(2) = −11.