Multiplying Binomials and Trinomials

Front

Define a binomial.

Back

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

Front

Define a trinomial.

Back

A trinomial is a polynomial that contains exactly three terms, such as (x^2 + 5x + 6) or (3x^2 - 2x + 1).

Front

What is the FOIL method used for?

Back

The FOIL method is used to multiply two binomials. It stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms.

Front

Simplify: (x - 9)(x - 7)

Back

x^2 - 16x + 63

Front

Simplify: (3x + 2)(2x + 4)

Back

6x^2 + 16x + 8

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 two or more terms inside a parenthesis.

Front

Multiply: (x - 3)(x + 10)

Back

x^2 + 7x - 30

Front

Multiply: (3x - 1)(x + 5)

Back

3x^2 + 14x - 5

Front

What is the result of multiplying a binomial by a trinomial?

Back

The result is a polynomial with a degree equal to the sum of the degrees of the binomial and trinomial.

Front

What is the degree of a polynomial?

Back

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