Monomials, Binomials, Trinomials and Polynomials Monomials: A monomial is a single term with one or more variables raised to the power of a single posit...
Monomials, Binomials, Trinomials and Polynomials
Monomials: A monomial is a single term with one or more variables raised to the power of a single positive integer. For example, the term 3x is a monomial.
Binomials: A binomial is a polynomial with two terms. The terms are usually variables raised to different powers. For example, the binomial 2x + 4 is a binomial.
Trinomials: A trinomial is a polynomial with three terms. The terms are usually variables raised to different powers. For example, the trinomial 3x^2 + 2x + 1 is a trinomial.
Polynomials: A polynomial is an expression that consists of one or more monomials. Polynomials can be of different degrees, depending on the highest power of the variables involved. A polynomial with one term is a monomial, a polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.
Examples:
Monomial: 3x
Binomial: 2x + 3
Trinomial: 3x^2 + 4x + 1
Polynomial: 5x^2 - 2x + 7
Summary:
Monomials are single terms with variables raised to different powers.
Binomials are polynomials with two terms.
Trinomials are polynomials with three terms.
Polynomials are expressions that consist of one or more monomials