Multiplying Binomials & Polynomials

A binomial is a polynomial that contains exactly two terms, such as (x + 3) or (2x - 5).

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents, such as 2x^2 + 3x + 5.

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

x^2 + 10x + 21

2x^3 + 10x^2

x^2 - 16x + 63

6x^5 + 27x^4 + 18x^3

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last.

To simplify an expression means to combine like terms and reduce it to its simplest form.

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