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Date______________ Name ____________________________ ALGEBRA 1 Lesson 9-2 Multiplying and Factoring Polynomials LEQ: __________________________________________________________________________ Standard: M11.D.2.2.1 Add, subtract and/or multiply polynomial expressions. Warm-Up Exercises Directions: Use the distributive property of multiplication to simplify each expression. 1. 3 ( 4x - 7 ) = _______________ 2. - 5 ( 2b + 6 ) = _______________ Directions: Multiply each expression. ( remember the rule of exponents when multiplying variables ) 3. 2x ( 4x ) = ________ 4. -3b ( 5b4 ) = _______ Vocabulary ( Recall ) Distributive Property of Multiplication – a method used to ______________________ a _________________ to _____________________________ of an polynomial expression. Key Concept #1 Distributing a Monomial When multiplying a polynomial by a monomial ( one term polynomial ), we use the ____________________ ___________________ of multiplication to simplify the expression. Examples: 1. Find the product of each expression. 3x ( 2x + 1 ) 2. = ______________________ 3. -3a ( 4a3 - 2a2 + 5 ) = ______________________ 2x2 ( x - 2 ) = ________________________ 4. 2d4 ( 8d2 + 5d - 3 ) = ________________________ Vocabulary (Recall) Factor – is a ______________, can be a _______________________ or a _______________________. Greatest Common Factor - is the ___________________ that can be __________________ a set of numbers. Key Concept #2 Factoring a Monomial From a Polynomial Examples Directions: Find the GCF for each polynomial expression, then factor each polynomial expression. 5. 4a + 12 GCF: ___________ 4a + 12 = ________________________________________________________ 6. 3b2 - 9b GCF: ___________ 3b2 - 9b = _________________________________________________________ 7. 5c + 35c2 GCF: ____________ 5c + 35c2 = ________________________________________________________ 8. 11d3 - 33d2 GCF: ___________ 11d3 - 33d2 = ________________________________________________________ Assignment: ________________________________________________________