Answer:You're correct in your explanation. When you multiply two polynomials, you find the degree of the resulting polynomial by adding the degrees of the two polynomials being multiplied. Since each of the trinomials has a degree of 2, their product will have a degree of
2
+
2
=
4
2+2=4, as you mentioned.
And for polynomials with one variable, the maximum number of terms in the resulting polynomial is indeed determined by the degree of the polynomial plus one. So, in this case, with a degree of 4, the maximum number of terms would be 5, ranging from
4
x
4
to the constant term.
Step-by-step explanation: