Multiplying Binomials and Trinomials

Front

What is a binomial?

Back

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

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms, such as (x^2 + 3x + 2) or (2x^2 - 4x + 1).

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 parentheses.

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last. For example, (a + b)(c + d) = ac + ad + bc + bd.

Front

What is the result of (x + 1)(x + 2)?

Back

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

Front

What is the result of (2x + 3)(x + 4)?

Back

The result is 2x^2 + 11x + 12.

Front

What is the result of (x - 5)(x + 5)?

Back

The result is x^2 - 25.

Front

What is the result of (x - 3)(x + 10)?

Back

The result is x^2 + 7x - 30.

Front

What is the result of (x - 9)(x - 7)?

Back

The result is x^2 - 16x + 63.

Front

What is the result of (3x + 2)(2x + 4)?

Back

The result is 6x^2 + 16x + 8.