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Color this Polynomial Simplified

Learn a visualization method using color to simplify polynomial expressions effectively. Organize terms, prevent overlooks, and solve equations with ease. Follow the simple process highlighted with examples for clear understanding.

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Color this Polynomial Simplified

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  1. Color this Polynomial Simplified A visualization method for simplifying expressions. A GEMS Submission/ALEX Submitted by: E. Thompson, PhD. Summer 2008

  2. Why this method works: • Helps organize like terms • Eliminates overlooking a term • Keeps everything from ‘running together’ • Can be used on a problem with any level of difficulty • Can be re-visited with solving equations

  3. Use color to change the way you visualize the problem: 2x – 3y +2x2 – 6x +9y - Original Problem 2x – 3y +2x2– 6x +9y - Find all x’s 2x– 3y +2x2– 6x+9y - Find all y’s 2x– 3y+2x2– 6x+9y - Find all x2 -4x+6y+2x2 - Combine like terms +2x2 -4x+6y – Highest power in front Final Answer: 2x2 -4x +6y

  4. The simple processGo through the problem and highlight things that are alike.

  5. Variation with shapes:(Colors not required) 2x – 3y +2x2 – 6x +9y - Original Problem 2x – 3y +2x2 – 6x +9y - Find all x’s 2x – 3y +2x2 – 6x +9y - Find all y’s 2x – 3y +2x2 – 6x +9y - Find all x2 -4x +6y +2x2 - Combine like terms +2x2 -4x +6y– Highest power in front Final Answer: 2x2 -4x +6y

  6. Increased Difficulty 2(x – y)+ 2y-3x +x2y Original Problem 2(x – y)+ 2y -3x +x2y Remove Parenthesis 2x–2y + 2y-3x+x2y Group with color -x+ 0y+x2y Simplify -x+x2y Regroup x2y -x Final Answer Continue with class samples and individual practice.

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