Question

Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5?

The difference is a binomial with a degree of 5.
The difference is a binomial with a degree of 6.
The difference is a trinomial with a degree of 5.
The difference is a trinomial with a degree of 6.

Answer 1

To answer the problem above we must first get the difference between the polynomials. In equation,
(a^3b + 9a^2b^2 - 4ab^5) - (a^3b - 3a^2b^2 + ab^5) =
6a^2b^2 - 3ab^5. This is the difference between the two completely simplified polynomials, The difference between the two is a binomial with a degree of 5.