Answer:
Step-by-step explanation:
As q^2+11q+24÷q^2-5q-24 has no " = " sign, it can't be solved. You meant, "Perform the indicated division, using long division:"
q^2+11q+24÷q^2-5q-24
can be rewritten for long division as:
_____________
q^2-5q-24 ) q^2+11q+24
Note how q^2 / q^2 = 1. So, we obtain:
1
_____________
q^2-5q-24 ) q^2+11q+24
- ( q^2-5q-24 )
----------------------
16q + 48 is the remainder
This result can be left as is, or we could write the quotient as
16q + 48
1 + -----------------
q^2-5q-24
