Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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## Multiplication Example: Polynomial Expression ### Problem Statement: Multiply the given polynomial by applying the distributive property. \[ 9s^2 (s^2 - 4s) \] ### Detailed Explanation: To solve this, we need to distribute the term outside the parentheses (the monomial) to each term inside the parentheses. Here's a step-by-step breakdown: 1. **Multiply the monomials:** - Multiply \(9s^2\) with \(s^2\). - Multiply \(9s^2\) with \(-4s\). 2. **Perform the multiplications:** - \( 9s^2 \cdot s^2 = 9s^{2+2} = 9s^4 \) - \( 9s^2 \cdot (-4s) = -36s^{2+1} = -36s^3 \) 3. **Combine the results:** - The result after distributing is: \[ 9s^4 - 36s^3 \] ### Graphical Representation: [No additional graphs or diagrams provided in this image.] By following these steps, you can multiply any similar polynomial expressions using the distributive property.
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Transcribed Image Text:## Multiplication Example: Polynomial Expression ### Problem Statement: Multiply the given polynomial by applying the distributive property. \[ 9s^2 (s^2 - 4s) \] ### Detailed Explanation: To solve this, we need to distribute the term outside the parentheses (the monomial) to each term inside the parentheses. Here's a step-by-step breakdown: 1. **Multiply the monomials:** - Multiply \(9s^2\) with \(s^2\). - Multiply \(9s^2\) with \(-4s\). 2. **Perform the multiplications:** - \( 9s^2 \cdot s^2 = 9s^{2+2} = 9s^4 \) - \( 9s^2 \cdot (-4s) = -36s^{2+1} = -36s^3 \) 3. **Combine the results:** - The result after distributing is: \[ 9s^4 - 36s^3 \] ### Graphical Representation: [No additional graphs or diagrams provided in this image.] By following these steps, you can multiply any similar polynomial expressions using the distributive property.
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