Checkpoint: Dividing by a Monomial Solution

Simplify.

$(36 a^{3} c^{3} + 9 a^{2} c^{2} - 16 a c) \div (8 a c) \frac{36 a^{3} c^{3}}{8 a c} + \frac{9 a^{2} c^{2}}{8 a c} - \frac{16 a c}{8 a c} \frac{9}{2} a^{2} c^{2} + \frac{9}{8} a c - 2$

Note

Q: What is the degree of the dividend? Explain.
A: 6, because 3 + 3 = 6

Q: What degree is the quotient?
A: 4, 2 + 2 = 4

Q: Why is the degree reduced by two in the quotient?

A: Because the divisor has a degree of two, the quotient will be simplified by two.