Multiplying Polynomials

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x - 5 is a polynomial.

Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in another polynomial, then combining like terms.

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term in a polynomial.

x^2 + 5x + 6

6x^2 + 5x - 4

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

2x^2 + 8x

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in 4x^3 + 2x^2 - x, the degree is 3.

x^2 - 4x - 5

The result of adding two polynomials is a new polynomial formed by combining like terms from both polynomials.