examples of monomials

Question

examples of polynomials

Answer 1

Sure! Here are examples of monomials and polynomials:

Monomials

A monomial is a single term that consists of a coefficient and one or more variables raised to non-negative integer powers. Here are some examples:

1. \(3x\)
2. \(-2y^2\)
3. \(4ab^3\)
4. \(7x^4y^2\)
5. \(5\) (this is a monomial without any variables, just a constant)
6. \(-x^5\)

Polynomials

A polynomial is a sum of one or more monomials. Here are some examples:

1. \(2x^2 + 3x + 4\) (quadratic polynomial)
2. \(x^3 - 5x^2 + 2x - 7\) (cubic polynomial)
3. \(4a^2b - 3ab^2 + 2a - 1\) (multivariable polynomial)
4. \(6 - 2x + 5x^3\) (polynomial of degree 3)
5. \(7x^4 + 2x^3 - 3x + 1\) (polynomial of degree 4)
6. \(9\) (this is a constant polynomial, which can be considered a polynomial of degree 0)

Summary

• Monomial: A single term (e.g., \(4x^2\)).
• Polynomial: A sum of monomials (e.g., \(4x^2 + 3x + 5\)).