Question

Is 4x + 5y a polynomial?

Answer 1

Yes 4x + 5y is a polynomial, any one or more terms. Interdeterminate

Answer 2

Yes, the expression 4x + 5y is a polynomial.

Polynomials:

A polynomial is an algebraic expression consisting of one or more terms, where each term is indeterminate, a variable raised to a non-negative integer exponent with a coefficient.

In the expression 4x + 5y:

• The term 4x is a monomial because it consists of a constant (4) multiplied by a variable (x) raised to the power of 1.
• The term 5y is also a monomial because it consists of a constant (5) multiplied by a variable (y) raised to the power of 1.

Since both terms are monomials, and they are combined using addition, the expression 4x + 5y is a polynomial. Specifically, it is a polynomial of degree 1 because the highest exponent of any variable in the terms is 1.