Multiplying Binomials & Polynomials

Front

What is a binomial?

Back

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

Front

What is a polynomial?

Back

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

Front

What is the distributive property?

Back

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.

Front

Multiply: (x + 3)(x + 7)

Back

x^2 + 10x + 21

Front

Multiply: 2x^2(x + 5)

Back

2x^3 + 10x^2

Front

Multiply: (x - 9)(x - 7)

Back

x^2 - 16x + 63

Front

Simplify: 3x^3(2x^2 + 9x + 6)

Back

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

Front

What is the FOIL method?

Back

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

Front

What does it mean to simplify an expression?

Back

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

Front

What is a coefficient in a polynomial?

Back

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