Question

Divide.

Answer 1

For this case we must find the quotient of $x ^ 2 + 11x + 24$ between $x + 4$

As you can see in the figure, we must build a quotient in such a way that when multiplied by the divisor, we eliminate the terms of the dividend until we reach the remainder.

Answer:

Quotient: x + 7

Remainder: -4

See attached image