Divide a polynomial by a monomial or by a binomial

Answer Key - Grade 9 Math Worksheet

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

1. 1.

   Pia divides 12x³y² − 18x²y³ + 6xy by 6xy. Type powers like x^2. What is the answer in fewest terms?

   2x^2y - 3xy^2 + 1
2. 2.

   Ren works out (−20x⁴ + 15x³ − 5x²) ÷ (−5x²). Type powers like x^2. What is the answer in fewest terms?

   4x^2 - 3x + 1
3. 3.

   Tala divides 16x³y − 24x²y² by 8x²y on a puzzle card. Type powers like x^2. What is the answer in fewest terms?

   2x - 3y
4. 4.

   Zee works out (−18x³ − 12x² + 6x) ÷ (−6x). Type powers like x^2. What is the answer in fewest terms?

   3x^2 + 2x - 1
5. 5.

   Ari divides x² + 2x − 15 by x + 5. Factor the top first. What is the answer in fewest terms?

   x - 3
6. 6.

   Bo works out (x² − 9x + 14) ÷ (x − 2) by factoring the top. What is the answer in fewest terms?

   x - 7
7. 7.

   Esme divides x² + 13x + 36 by x + 9, factoring first. What is the answer in fewest terms?

   x + 4
8. 8.

   Jun works out (x² − x − 42) ÷ (x − 7). Factor the top first. What is the answer in fewest terms?

   x + 6
9. 9.

   Kira divides 3x² + 10x − 8 by x + 4. Which answer is right?

   • 3x + 2
   • x − 2
   • 3x − 2
   • x + 4
10. 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