6.08 Divide polynomials
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.
True. Dividing by a monomial always reduces the polynomial to a single term.
True. Dividing by a monomial can eliminate some terms if they are like terms.
False. Dividing each term of a polynomial by a monomial simplifies the terms but does not eliminate any.
"The degree of the polynomial will always decrease after dividing by a monomial."
Is this statement true or false?
"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?
"The result of dividing a polynomial by a monomial will be another polynomial."
Is this statement true or false?