Final answer:
When f(x) = x² + 4x - 7 is divided by x + 2, the quotient is x - 2 and the remainder is -11.
Step-by-step explanation:
The question is asking about the result of dividing the function f(x) = x² + 4x - 7 by the expression x + 2. To find the quotient, we can use polynomial long division:
x + 2 | x² + 4x - 7
- (x² + 2x)
___________
2x - 7
- (2x + 4)
___________
-11
The quotient is x - 2 with a remainder of -11. This means that when f(x) = x² + 4x - 7 is divided by x + 2, the quotient is x - 2 and the remainder is -11.