Grade 9 · Math · Algebra 1

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

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Divide a polynomial by a monomial or by a binomial

Grade 9 Math Worksheet

NameDate

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

Pia divides 12x³y² − 18x²y³ + 6xy by 6xy. Type powers like x^2. What is the answer in fewest terms?
Ren works out (−20x⁴ + 15x³ − 5x²) ÷ (−5x²). Type powers like x^2. What is the answer in fewest terms?
Tala divides 16x³y − 24x²y² by 8x²y on a puzzle card. Type powers like x^2. What is the answer in fewest terms?
Zee works out (−18x³ − 12x² + 6x) ÷ (−6x). Type powers like x^2. What is the answer in fewest terms?
Ari divides x² + 2x − 15 by x + 5. Factor the top first. What is the answer in fewest terms?
Bo works out (x² − 9x + 14) ÷ (x − 2) by factoring the top. What is the answer in fewest terms?
Esme divides x² + 13x + 36 by x + 9, factoring first. What is the answer in fewest terms?
Jun works out (x² − x − 42) ÷ (x − 7). Factor the top first. What is the answer in fewest terms?
9.
Kira divides 3x² + 10x − 8 by x + 4. Which answer is right?
- 3x + 2
- x − 2
- 3x − 2
- x + 4
10.
Noah divides 4x² − 9x + 2 by x − 2 with an area model. Which answer is right?
- x − 1
- x − 2
- 4x + 1
- 4x − 1

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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