Polynomial Multiplication Worksheets Grade 9

1. Hana is designing a rectangular raised garden bed for her school's environmental project. The length of the garden bed is represented by (3x + 7) decimeters and the width is represented by (2x - 5) decimeters. To order the correct amount of soil, Hana needs to calculate the area of the garden bed. What polynomial expression in standard form represents the area of the garden bed in square decimeters?
2. (4x² - 3x + 7)(2x + 5) = ?
3. A tech company is designing a new smartphone with a rectangular screen. The screen's length is represented by (4x + 3) centimeters and its width by (2x - 1) centimeters. The engineers need to calculate the total screen area to determine the manufacturing cost. What polynomial expression represents the area of the screen in square centimeters?

…and 5 more problems

1. A square patio has a side length of (2x + 7) feet. A circular fountain with a radius of (x - 2) feet is installed at the center of the patio. What is the area of the patio that is NOT covered by the fountain? Express your answer as a polynomial in standard form. (Use π = 3.14 and leave π as a symbol in the final expression.)
2. (3x² - 2x + 5)(2x - 3) = ?
3. (7x² - 9x + 11)(3x² + 5x - 13) = ?

…and 4 more problems

1. (5x² - 7x + 9)(3x² + 11x - 15) = ?
2. Mere is designing a rectangular mural for the school hall. The mural's length is represented by (4x + 11) units and its width by (3x - 7) units. On a coordinate grid of the mural, a square section in the top-left corner, with side length (x + 2) units, will be painted in a special metallic color. What is the area of the remaining part of the mural (the part not painted metallic) expressed as a polynomial in standard form?
3. Hana is helping her family plan a new rectangular garden. The length of the garden is (3x + 11) meters, and the width is (2x - 7) meters. To buy the right amount of soil and fencing, Hana needs to find the area of the garden as a simplified polynomial expression. What is the area of the garden in square meters, written in standard form?

…and 4 more problems