Adding and Subtracting Polynomials

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

A monomial is a polynomial with only one term, such as 3x^2 or -5.

A binomial is a polynomial with exactly two terms, such as x + 2 or 3x^2 - 4.

A trinomial is a polynomial with exactly three terms, such as x^2 + 3x + 2.

To add polynomials, combine like terms by adding their coefficients.

To subtract polynomials, distribute the negative sign and then combine like terms.

The degree of a polynomial is the highest power of the variable in the expression.

A coefficient is a numerical factor in a term of a polynomial, such as 3 in 3x^2.

Like terms are terms in a polynomial that have the same variable raised to the same power.

6x - 2.