Algebra Multiplying Monomials & Binomials

Front

What is a monomial?

Back

A monomial is an algebraic expression that consists of a single term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.

Front

What is a binomial?

Back

A binomial is an algebraic expression that consists of two terms separated by a plus or minus sign.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Find the product: (3x + 2)(2x + 4)

Back

6x² + 16x + 8

Front

Calculate: (2x)(3x)

Back

6x²

Front

Simplify: 3a(5a² + 8a + 2)

Back

15a³ + 24a² + 6a

Front

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

Back

x² - 16x + 63

Front

Calculate: (2x²)(5x)

Back

10x³

Front

What is the product of two monomials?

Back

To find the product of two monomials, multiply their coefficients and add their exponents for like bases.

Front

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

Back

Use the distributive property to multiply each term in the binomial by the monomial.