Divide a polynomial by a monomial or by a binomial
Grade 9 Math Worksheet - Challenge Me

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