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)?

Answer 1

Synthetic divisions are used to divide polynomials.

The value of f(2) is -11

The divisor is given as:

$\mathbf{x -2 }$

Equate to 0

$\mathbf{x -2 = 0}$

Solve for x

$\mathbf{x = 2}$

So, the value of f(x) when x = 2, is the remainder of the function when divided by $\mathbf{x -2 }$

In a synthetic division, the remainder of the division is the digit at the bottom right.

From the division (see attachment), the digit at the bottom right is -11

This means that, the remainder is -11

So, we have:

$\mathbf{f(2) = -11}$

Read more about synthetic division at:

brainly.com/question/24507765