Multiply Monomial by Polynomial

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 polynomial?

Back

A polynomial is an expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

How do you multiply a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, distribute the monomial to each term of the polynomial.

Tags

CCSS.HSA.APR.A.1

Front

Simplify: 5(3x + 2)

Back

15x + 10

Tags

CCSS.6.EE.A.3

Front

Simplify: -8x(x - 8)

Back

-8x² + 64x

Tags

CCSS.HSA.APR.A.1

Front

Simplify: -2x(x⁷ + 5)

Back

-2x⁸ - 10x

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CCSS.7.EE.A.1

Front

Simplify: 4m(3m⁷ + 2m⁵)

Back

12m⁸ + 8m⁶

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CCSS.7.EE.A.1

Front

Simplify: 2x(-2x - 3)

Back

-4x² - 6x

Tags

CCSS.HSA.APR.A.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 inside a parenthesis.

Tags

CCSS.6.EE.A.3

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Tags

CCSS.7.EE.A.1