Polynomials divide by a monomial

Question

12a³ b² + 4a⁴ b⁵ +16ab² /4ab²

Answer 1

Alright, Ruby, these are done just like if we were dividing numbers. If we had 12x + 6/2, we can break it apart and say 12x/2 + 6/2, or 6x +3.

 

We can do the same thing here.  12a³b²/4ab² + 4a⁴b⁵/4ab² + 16ab²/4ab^2.

 

Now, when we multiply exponents with the same base, like a⁵ x a⁵, we get a⁵⁺⁵, or a ^10..

 

When we divide, we subtract, so a⁵/a³ = a^5-3 = a².

 

Can you solve from here?