Question

Select the statement that is always true when dividing a third degree polynomial by a second degree polynomial.(1 point)

Answer 1

When dividing a third degree polynomial by a second degree polynomial, the result will always be a polynomial of degree 1 (i.e., a linear polynomial) plus a remainder. Specifically, the remainder will be a polynomial of degree less than the divisor, which in this case would be a polynomial of degree less than 2 (i.e., a constant or a first degree polynomial).

So, the statement that is always true when dividing a third degree polynomial by a second degree polynomial is:

**The result is a polynomial of degree 1 (linear) plus a remainder of degree less than 2.**