161k views
2 votes
Is 4x + 5y a polynomial?

2 Answers

5 votes
Yes 4x + 5y is a polynomial, any one or more terms. Interdeterminate
User Aminur Rashid
by
7.0k points
3 votes

Answer:

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.

User Claudiu Matei
by
7.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories