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6.03 Divide polynomials by a monomial

Adaptive
Worksheet

Interactive practice questions

"When dividing a polynomial by a monomial, it is possible to reduce the number of terms."

Is this statement true or false?

Select the option that correctly justifies your answer.

False. We cannot create a coefficient of zero when dividing a single term of a polynomial by a monomial, so no terms will be eliminated.

A

True. Dividing by a monomial always reduces the polynomial to a single term.

B

True. Dividing by a monomial can eliminate some terms if they are like terms.

C

False. Dividing each term of a polynomial by a monomial simplifies the terms but does not eliminate any.

D
Easy
< 1min

"The degree of the polynomial will always decrease after dividing by a monomial."

Is this statement true or false?

Easy
< 1min

"The result of dividing a polynomial by a monomial will have a constant term if the degree of the monomial matches the degree of any term in the polynomial."

Is this statement true or false?

Easy
< 1min

"The result of dividing a polynomial by a monomial will be another polynomial."

Is this statement true or false?

Easy
< 1min
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Outcomes

A.EO.2

The student will perform operations on and factor polynomial expressions in one variable.

A.EO.2d

Determine the quotient of polynomials, using a monomial or binomial divisor, or a completely factored divisor.

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