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Factoring the Common Monomial Factor Worksheet

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FACTORING TECHNIQUES WORKSHEET
* Common Monomial Factor (CMF)

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Factoring the Common Monomial Factor Worksheet

  1. 1. Mathematics 8 Worksheet Algebra 1st Quarter Mr. Carlo Justino J. Luna Republic of the Philippines | DEPARTMENT OF EDUCATION Region III | Division of City Schools | West District Tamarind St., Clarkview Subd., Malabanias, Angeles City School Year 2018-2019 NAME: ________________________________________ SCORE: __________________ GRADE & SECTION: _____________________________ DATE: ____________________ 1st Quarter Worksheet #6 Find the factors of each expression. EASY 1. 8𝑎 + 10𝑎2 2. 6𝑛2 − 9𝑛 3. 16𝑝4 + 4𝑝6 4. 25𝑚3 + 5𝑚 5. 15𝑛3 + 12𝑛 6. 20𝑥4 + 5𝑛5 7. 15𝑦5 − 3𝑦2 8. 6 + 10𝑏 9. 6𝑏6 + 10𝑏3 10.25𝑝 + 10 11.4𝑦2 + 8𝑦 AVERAGE 12.32𝑎6 + 8𝑎𝑏 − 80𝑏2 13.6𝑥5 𝑦 + 2𝑥𝑦3 − 6𝑦 14.20𝑎12 𝑏2 + 6𝑎8 𝑏 − 20𝑎9 𝑏3 15.32𝑚𝑛2 − 48𝑚𝑛 + 24 16.24𝑝4 +24𝑝2 𝑞 − 27𝑞2 17.12𝑥3 − 15𝑥3 𝑦4 + 15𝑦5 18.21𝑚3 𝑛9 + 27𝑚4 𝑛2 + 12𝑚3 𝑛 HARD 19.4𝑥5 𝑦 − 20𝑥4 𝑦𝑧 − 24𝑥3 𝑦3 + 28𝑥3 𝑦𝑧 20.90𝑎8 𝑏7 𝑐 − 18𝑎9 𝑏5 +9𝑎7 𝑏5 𝑐 − 27𝑎6 𝑏5 21.55𝑚𝑛3 𝑝 + 5𝑚3 𝑛𝑝 + 15𝑚𝑛𝑝3 + 25𝑚𝑛𝑝 22.18𝑝 + 60𝑚𝑝 + 72𝑝𝑞3 − 24𝑚𝑝3 𝑞3
  2. 2. Mathematics 8 Worksheet Algebra 1st Quarter Mr. Carlo Justino J. Luna Republic of the Philippines | DEPARTMENT OF EDUCATION Region III | Division of City Schools | West District Tamarind St., Clarkview Subd., Malabanias, Angeles City School Year 2018-2019 NAME: ________________________________________ SCORE: __________________ GRADE & SECTION: _____________________________ DATE: ____________________ 1st Quarter Worksheet #6 Find the factors of each expression. EASY 1. 8𝑎 + 10𝑎2 = 2𝑎(4 + 5𝑎) 2. 6𝑛2 − 9𝑛 = 3𝑛(2𝑛 − 3) 3. 16𝑝4 + 4𝑝6 = 4𝑝4 (4 + 𝑝2 ) 4. 25𝑚3 + 5𝑚 = 5𝑚(5𝑚2 + 1) 5. 15𝑛3 + 12𝑛 = 3𝑛(5𝑛2 + 4) 6. 20𝑥4 + 5𝑥5 = 5𝑥4 (4 + 𝑥) 7. 15𝑦5 − 3𝑦2 = 3𝑦2 (5𝑦3 − 1) 8. 6 + 10𝑏 = 2(3 + 5𝑏) 9. 6𝑏6 + 10𝑏3 = 2𝑏3 (3𝑏3 + 5) 10.25𝑝 + 10 = 5(5𝑝 + 2) 11.4𝑦2 + 8𝑦 = 4𝑦(𝑦 + 2) AVERAGE 12.32𝑎6 + 8𝑎𝑏 − 80𝑏2 = 8(4𝑎6 + 𝑎𝑏 − 10𝑏2 ) 13.6𝑥5 𝑦 + 2𝑥𝑦3 − 6𝑦 = 2𝑦(3𝑥5 + 𝑥𝑦2 − 3) 14.20𝑎12 𝑏2 + 6𝑎8 𝑏 − 20𝑎9 𝑏3 = 2𝑎8 𝑏(10𝑎4 𝑏 + 3 − 10𝑎𝑏2 ) 15.32𝑚𝑛2 − 48𝑚𝑛 + 24 = 8(4𝑚𝑛2 − 6𝑚𝑛 + 3) 16.24𝑝4 +24𝑝2 𝑞 − 27𝑞2 = 3(8𝑝4 + 8𝑝2 𝑞 − 9𝑞2 ) 17.12𝑥3 − 15𝑥3 𝑦4 + 15𝑦5 = 3(4𝑥3 − 5𝑥3 𝑦4 + 5𝑦5 ) 18.21𝑚3 𝑛9 + 27𝑚4 𝑛2 + 12𝑚3 𝑛 = 3𝑚3 𝑛(7𝑛8 + 9𝑚𝑛 + 4) HARD 19.4𝑥5 𝑦 − 20𝑥4 𝑦𝑧 − 24𝑥3 𝑦3 + 28𝑥3 𝑦𝑧 = 4𝑥3 𝑦(𝑥2 − 5𝑥𝑧 − 6𝑦2 + 7𝑧) 20.90𝑎8 𝑏7 𝑐 − 18𝑎9 𝑏5 +9𝑎7 𝑏5 𝑐 − 27𝑎6 𝑏5 = 9𝑎6 𝑏5 (10𝑎2 𝑏2 𝑐 − 2𝑎3 + 𝑎𝑐 − 3) 21.55𝑚𝑛3 𝑝 + 5𝑚3 𝑛𝑝 + 15𝑚𝑛𝑝3 + 25𝑚𝑛𝑝 = 5𝑚𝑛𝑝(11𝑛2 + 𝑚2 + 3𝑝2 + 5) 22.18𝑝 + 60𝑚𝑝 + 72𝑝𝑞3 − 24𝑚𝑝3 𝑞3 = 6𝑝(3 + 10𝑚 + 12𝑞3 − 4𝑚𝑝2 𝑞3 )

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