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.

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

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

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

   2x - 3y
3. 3.

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

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

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

   x - 3
5. 5.

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

   x - 7
6. 6.

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

   x + 4
7. 7.

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

   x + 6
8. 8.

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

   • 3x − 2
   • 3x + 2
   • x + 4
   • x − 2
9. 9.

   Luz finds (2x² − 7x + 3) ÷ (x − 3) by factoring the top. Which answer is right?

   • 2x − 1
   • x − 3
   • x − 1
   • 2x + 1
10. 10.

    Milo checks four answers for (5x² + 13x − 6) ÷ (x + 3). Which one is right?

    • 5x + 2
    • x + 3
    • x − 2
    • 5x − 2