Question

Paula used synthetic division to divide the polynomial f(x) by x + 1, as shown: -1|-2 -5 4 2 3 ___________ -2-3 7 What is the value of f(-1)? 7 -2 -1 1

I think it's 7 but not sure about my answer

Answer 1

The correct option is A. The value of f(-1) is 7.

Explanation:

It is given that Paula used synthetic division to divide the polynomial f(x) by x + 1, as shown in the attached figure.

According to the remainder theorem, If a function f(x) is divided by (x-c), then

`f(c)=remainder`

From the given division it is clear that if the polynomial f(x)is divide by x + 1, then the remainder is 7.

Using remainder theorem, we get

`f(-1)=7`

The value of f(-1)=7, therefore the correct option is A.

Answer 2

yes it is 7 for sure