Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Factorize |
Grade: 9-a Lesson: S2-L2 |
Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
1. Factorize \$b^3 + 13b^2 + 32b + 20\$.
Step 1a
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Given polynomial. |
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Explanation:
Given polynomial is \$b^3 + 13b^2 + 32b + 20\$ It is a cubic polynomial, since it has the greatest power 3. |
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Step 1b
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Rewrite polynomial by grouping factor. |
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Explanation: \$=> b^3 + 13b^2 + 32b + 20\$ \$=> b^3 + 12b^2 + b^2 + 20b + 12b + 20\$ \$=> b^3 + 12b^2 + 20b + b^2 + 12b + 20\$ \$=> b(b^2 + 12b + 20) + 1(b^2 + 12b + 20)\$ \$=> (b + 1)(b^2 + 12b + 20)\$ |
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Step 1c
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Factor by grouping. |
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Explanation: \$=> (b + 1)(b^2 + 10b + 2b + 20)\$ \$=> (b + 1)(b(b + 10) + 2(b + 10))\$ \$=> (b + 1)(b + 2)(b + 10)\$ |
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