Think about the following statements and indicate whether they are true (T) of false (F).
You need to get all answers correct before obtaining credit.
The product of 2 linear polynomials is quadratic.

The sum of two cubic polynomials cannot have a degree greater than 3.

The sum of two cubic polynomials may have a degree less than 3.

The sum of a cubic and a quartic polynomial may have a degree different from 4.

The product of two monomials is a monomial.

The product of two binomials is a binomial.

Hint: Look at an example. Try to prove the statement wrong by finding an example where it does not hold.

In order to get credit for this problem all answers must be correct.