Grade 9 · Math · Algebra 1

9th grade Divide a polynomial by a monomial or by a binomial worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Divide a polynomial by a monomial or by a binomial

Grade 9 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Pia's new rug has an area of 6x² + 7x − 3 square feet. It is 2x + 3 feet wide. How long is it, in fewest terms?
Ren paints a tabletop with an area of 8x² + 10x + 3 square feet. It is 2x + 1 feet wide. How long is it, in fewest terms?
Tala plants a garden bed with an area of 10x² + 19x + 6 square meters (the seeds are very excited). It is 2x + 3 meters wide. How long is it?
Zee measures a window with an area of 12x² + 5x − 2 square feet. It is 3x + 2 feet wide. How tall is it, in fewest terms?
Ari divides 3x³ + 6x² − 24x by x + 4. Take out the GCF and factor first. Type powers like x^2. What is the answer in fewest terms?
Bo works out (2x³ − 2x² − 12x) ÷ (x − 3) by factoring completely first. Type powers like x^2. What is the answer in fewest terms?
Jun divides 4x⁴ − 4x³ − 24x² by x + 2, factoring first. Type powers like x^3. What is the answer in fewest terms?
Kira divides x² + 5xy + 6y² by x + 2y, which has two letters. Factor the top first. What is the answer in fewest terms?
Milo divides 2x² + 7xy + 3y² by x + 3y on a challenge card. Factor first. What is the answer in fewest terms?
Noah works out (3x² − 10xy − 8y²) ÷ (x − 4y) by factoring the top. What is the answer in fewest terms?

Divide a polynomial by a monomial or by a binomial. Every version has 10 questions, and the answer key prints on the second page.

Standard: state-only (A-APR.D.6 is the Algebra 2 form)

divisor: What you divide by: the side you already know.

quotient: The answer to a division: the missing side.

cancel: Take away a factor that is on the top and the bottom.

Your child divided only the first term by the monomial and left the others as they were. Try: multiply the answer by the divisor and compare.

Your child left nothing where a term divided by itself gives 1.

Your child divided the numbers but not the letters.

Ask: what is 5x divided by 5x?

Ask: what is x³ divided by x?

What is the most common mistake with divide a polynomial by a monomial or by a binomial?

Your child divided only the first term by the monomial and left the others as they were. Try: multiply the answer by the divisor and compare.

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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