Use the remainder thereom to evaluate each function at the given value. F(x)=x^3+7x^2+9x+4, x=-2
To evaluate the function F(x) = x^3 + 7x^2 + 9x + 4 at x = -2 using the remainder theorem, we need to find the remainder when F(x) is divided by x + 2.
To find the remainder, we can use synthetic division:
-2 | 1 7 9 4
| -2 -10 2
|_______________________
1 5 -1 6
The remainder is 6.
Therefore, F(x) evaluated at x = -2 is equal to the remainder, which is 6.