Answer:
The correct option is A. The value of f(-1) is 7.
Step-by-step 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
[tex]f(c)=remainder[/tex]
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
[tex]f(-1)=7[/tex]
The value of f(-1)=7, therefore the correct option is A.
