Use the remainder thereom to evaluate each function at the given value. F(x)=x^3+7x^2+9x+4
To use the remainder theorem, we need to divide the given function by the expression (x - a), where 'a' is the given value.
In this case, let's evaluate the function F(x) = x^3 + 7x^2 + 9x + 4 at a = 2:
Step 1: Divide F(x) by (x - 2).
__________________________________
(x - 2)| x^3 + 7x^2 + 9x + 4
- (x^3 - 2x^2)
__________________
9x^2 + 9x + 4
- (9x^2 - 18x)
_____________________
27x + 4
- (27x - 54)
______________________
58
Step 2: The remainder is 58.
Therefore, F(x) when evaluated at x = 2 gives a remainder of 58.