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Lesson 1.1.1: Factoring Polynomials by Finding Common Monomial Factore Factoring: the reverse process of getting the product any number or algebrato expression. Factoring Polynomials: describing an algebraic ex pression as the product of two or more expressions Common Factor: a factor that is contained in every Jterm of an algebraic expression How to Factor a Polynomial with a Common Mono- mial Factor 1. Factor out the greatest common monomial of all terms of the given expression. Divide each term of the expression by the greatest common factor. The resulting expression is the other factor. Practice Exercises 1.1.1 Factor the following polynomials completely. 1. 3x + 6 2. 12x+8y+4x²y 3. 3 Gr² + 3x 4. Gyz + 7y²+2y³ 5. 12x+9x+Gry 6. 2x³-8x+4x 7. 12x+18xy+6x22 8. 35x³-7x² + 14x 9. Suz + 16 +24 10. 18 +0xy + 30xy
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