Adding, Subtracting, & Multiplying Polynomials

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

Adding polynomials involves combining like terms from two or more polynomial expressions to form a new polynomial.

Subtracting polynomials involves taking the difference between two polynomial expressions by combining like terms after distributing the negative sign.

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

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.

The result is 6x^2 + 3x + 5.

The result is -2x^2 + 2x.

The distributive property states that a(b + c) = ab + ac, which is used to multiply a polynomial by another polynomial.

The result is x^2 + 5x + 6.

The result is 6x^3.