Question

Determine whether the algebraic expression 3x^(6) + 6x^(2) is a polynomial (Yes or No). If it is a polynomial, state the degree and then state if it is a monomial, binomial, or trinomial.

Answer 1

Yes; Sixth-degree binomial

Explanation:

This is a polynomial because the exponents of the variable are positive integers and the leading coefficients are real. This is a sixth-degree polynomial because the largest exponent is 6. Since there are two terms in the polynomial, it is a binomial (note that "bi-" means "two").