Multiplying Binomials and Trinomials

Front

What is a binomial?

Back

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

Front

What is a trinomial?

Back

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

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last.

Front

What does FOIL stand for in binomial multiplication?

Back

FOIL stands for First, Outer, Inner, Last, which are the pairs of terms you multiply when expanding the product of two binomials.

Front

What is the result of multiplying (a + b)(a - b)?

Back

The result is a^2 - b^2, known as the difference of squares.

Front

What is the formula for the square of a binomial (a + b)^2?

Back

The formula is (a + b)^2 = a^2 + 2ab + b^2.

Front

What is the formula for the square of a binomial (a - b)^2?

Back

The formula is (a - b)^2 = a^2 - 2ab + b^2.

Front

How do you multiply a binomial by a trinomial?

Back

Use the distributive property by multiplying each term in the binomial by each term in the trinomial.

Front

What is the product of (x + 3)(x + 7)?

Back

The product is x^2 + 10x + 21.