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

To multiply a monomial by a polynomial, distribute the monomial to each term of the polynomial. For example, $$3x(2x^2 + 4x + 5) = 6x^3 + 12x^2 + 15x$$ .

Define the term 'coefficient' in a monomial.

A coefficient is a numerical factor in a term of a polynomial or monomial. For example, in $$5x^3$$ , 5 is the coefficient.

Explain the importance of simplifying monomials in algebra.

Simplifying monomials helps to make expressions easier to work with, allows for easier calculations, and is essential for solving equations and inequalities.

3-4 Part 0: Dividing Monomials Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define 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.

2.

FLASHCARD QUESTION

Front

What is the product of two monomials?

Back

Tags

CCSS.HSA.APR.A.1

3.

FLASHCARD QUESTION

Front

What is the quotient rule for monomials?

Back

Tags

CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What happens to the exponents when multiplying monomials?

Back

Tags

CCSS.8.EE.A.1

6.

FLASHCARD QUESTION

Front

What happens to the exponents when dividing monomials?

Back

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

Back

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