Polynomial Division Worksheets Grade 9

1. Liam is designing a rectangular garden with an area represented by the polynomial expression 6x³ + 9x² - 12x square feet. He needs to divide the garden into three equal sections along its length, each with the same width. If the width of each section is 3x feet, what polynomial expression represents the length of one section?
2. A triangular garden plot is designed with vertices at coordinates (0,0), (4x,0), and (0,3x) on a coordinate plane. The gardener wants to divide the triangle into equal-area strips by drawing lines parallel to the y-axis, creating vertical sections. If the area of the triangle is represented by the polynomial 6x² and each strip has width x, what simplified expression represents the area of each strip?
3. (24x⁷y⁵ - 36x⁵y⁷ + 48x⁶y⁴) ÷ (12x³y²) = ?

…and 5 more problems

1. A triangular garden plot is designed with vertices at coordinates A(0,0), B(4x,0), and C(0,3x) on a coordinate plane. The gardener wants to divide the triangle into equal-area strips by drawing lines parallel to the base AB. If each strip has a height of x units, what simplified polynomial expression represents the area of the third strip from the top?
2. (18x⁵y⁴ - 27x⁴y³ + 36x³y²) ÷ (9x²y) = ?
3. (15x⁴y³ - 25x³y⁵ + 35x²y⁴) ÷ (5x²y²) = ?

…and 5 more problems

1. A robotics team is designing a solar panel array with a total power output represented by the polynomial 24x⁴y³ - 18x³y⁴ + 12x²y⁵ watts. They need to distribute this power equally among 6x²y² identical solar cells. What simplified polynomial expression represents the power output of each individual solar cell?
2. A robotics team is designing a solar panel array with a total area represented by the polynomial 15x⁴y³ - 25x³y⁴ + 35x²y⁵ square meters. They need to divide this area equally among solar panels that each have an area of 5x²y³ square meters. What simplified polynomial expression represents how many solar panels they can create?
3. (18x⁵y⁴ - 27x⁴y³ + 36x³y⁵) ÷ (9x²y²) = ?

…and 4 more problems