Question

Is a trinomial always a higher degree than a monomial explain why or why not

Answer 1

Answer:  NO

Step-by-step explanation:

Let's define some of the vocabulary words so we can understand what is being asked.

trinomial: 3 terms   → each term is separated by a plus or minus sign

                               Example: 5x² + 3x + 2

monomial: 1 term   →  no plus or minus sign exists in the term.

                               Example: 5x²

degree: the largest exponent → it can be in any of the terms.

                               Example: 5x² has a degree of 2

It is possible that a monomial has an exponent greater than that of a trinomial so the answer is NO!

trinomial:   5x² + 3x + 2      has a degree of 2

monomial: 5x⁴                    has a degree of 4