Multiplying Polynomials by Monomials

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 raised to non-negative integer powers.

Front

What is a polynomial?

Back

A polynomial is a mathematical 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, multiplying the coefficients and adding the exponents of like bases.

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.

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CCSS.6.EE.A.3

Front

Multiply: 7y(5y² + 2y + 3)

Back

35y³ + 14y² + 21y

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CCSS.HSA.APR.A.1

Front

Multiply: -6y(y⁵ + 8y)

Back

-6y⁶ - 48y²

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CCSS.HSA.APR.A.1

Front

Multiply: 3x(2x² + 9x + 6)

Back

6x³ + 27x² + 18x

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CCSS.HSA.APR.A.1

Front

Multiply: 3a(5a² + 8a + 2)

Back

15a³ + 24a² + 6a

Tags

CCSS.HSA.APR.A.1

Front

Multiply: 5x(4x³ + 8)

Back

20x⁴ + 40x

Tags

CCSS.HSA.APR.A.1

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.