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.

  1. 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?

  2. 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?

  3. 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?

  4. 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?

  5. 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?

  6. Bo works out (2x³ − 2x² − 12x) ÷ (x − 3) by factoring completely first. Type powers like x^2. What is the answer in fewest terms?

  7. A box has volume 5x³ + 35x² + 60x and one edge x + 3. Esme wants the face made by the other two edges. Type x² as x^2. What is its area?

  8. Kira divides x² + 5xy + 6y² by x + 2y, which has two letters. Factor the top first. What is the answer in fewest terms?

  9. Milo divides 2x² + 7xy + 3y² by x + 3y on a challenge card. Factor first. What is the answer in fewest terms?

  10. Noah works out (3x² − 10xy − 8y²) ÷ (x − 4y) by factoring the top. What is the answer in fewest terms?

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Divide a polynomial by a monomial or by a binomial

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

  1. 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?

    3x - 1
  2. 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?

    4x + 3
  3. 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?

    5x + 2
  4. 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?

    4x - 1
  5. 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?

    3x^2 - 6x
  6. Bo works out (2x³ − 2x² − 12x) ÷ (x − 3) by factoring completely first. Type powers like x^2. What is the answer in fewest terms?

    2x^2 + 4x
  7. A box has volume 5x³ + 35x² + 60x and one edge x + 3. Esme wants the face made by the other two edges. Type x² as x^2. What is its area?

    5x^2 + 20x
  8. Kira divides x² + 5xy + 6y² by x + 2y, which has two letters. Factor the top first. What is the answer in fewest terms?

    x + 3y
  9. Milo divides 2x² + 7xy + 3y² by x + 3y on a challenge card. Factor first. What is the answer in fewest terms?

    2x + y
  10. Noah works out (3x² − 10xy − 8y²) ÷ (x − 4y) by factoring the top. What is the answer in fewest terms?

    3x + 2y