Multiplying Monomials and Binomials Review

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, which can be separated by a plus or minus sign.

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.

Front

How do you multiply two binomials?

Back

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

Front

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

Back

The result is a² - b², known as the difference of squares.

Front

What is the formula for squaring a binomial (a + b)²?

Back

The formula is (a + b)² = a² + 2ab + b².

Front

What is the formula for squaring a binomial (a - b)²?

Back

The formula is (a - b)² = a² - 2ab + b².

Front

How do you simplify (x - 7)²?

Back

To simplify (x - 7)², apply the formula: (x - 7)² = x² - 14x + 49.

Front

What is the product of (2x)(3x)?

Back

The product is 6x².

Front

What is the product of (2x²)(5x)?

Back

The product is 10x³.