Polynomial Multiplication Worksheets Grade 9

Algebra

Distributive Property

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

8 problems
  1. (3x² - 5x + 7)(x² + 3x - 1) = ?
  2. (4x² - 3x + 7)(2x² + x - 5) = ?
  3. A rectangular garden has a length of (3x + 2) meters and a width of (2x - 1) meters. The gardener wants to install a decorative border around the entire perimeter. Write a simplified polynomial expression that represents the area of the garden in square meters.

…and 5 more problems

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Worksheet 2

8 problems
  1. A rectangular solar panel has dimensions (4x + 3) meters by (2x - 1) meters. The manufacturer needs to calculate the total area to determine the panel's energy output capacity. What polynomial expression in standard form represents the area of the solar panel in square meters?
  2. A rectangular community garden plot has dimensions where the length is (4x + 3) feet and the width is (3x - 2) feet. The garden committee needs to calculate the total area to determine how many vegetable seedlings to purchase. What is the area of the garden plot expressed as a polynomial in standard form?
  3. A technology company is designing a new smartphone with a rectangular screen. The screen's length is represented by (4x + 3) inches and its width is (3x - 2) inches. The engineers need to calculate the screen area to determine the optimal pixel density. What polynomial expression in standard form represents the area of the smartphone screen in square inches?

…and 5 more problems

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Worksheet 3

7 problems
  1. A robotics team is designing a new solar panel with a rectangular active area. The length of the panel is represented by (4x + 3) centimeters and the width is (3x - 2) centimeters. To calculate the maximum power output, they need to determine the total area of the panel. What polynomial expression in standard form represents the area of the solar panel in square centimeters?
  2. 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?
  3. A rectangular solar panel has a length of (4x + 3) meters and a width of (2x - 1) meters. The manufacturer needs to calculate the total surface area to determine the energy output capacity. What polynomial expression represents the area of the solar panel in square meters?

…and 4 more problems

Open & Print Worksheet 3

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