8-6 Multiplying a Polynomial by a Monomial A

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

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 does it mean to multiply a polynomial by a monomial?

Back

Multiplying a polynomial by a monomial involves distributing the monomial to each term of the polynomial.

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CCSS.HSA.APR.A.1

Front

What are like terms?

Back

Like terms are terms in a polynomial that have the same variable raised to the same power.

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CCSS.6.EE.A.2B

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part unchanged.

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CCSS.7.EE.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 in a polynomial.

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CCSS.6.EE.A.3

Front

What is the result of multiplying 6v(2v + 3)?

Back

The result is 12v² + 18v.

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 expression.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is the difference between a term and a polynomial?

Back

A term is a single mathematical expression, while a polynomial is a sum of one or more terms.