MAT 221 Week 5 Discussion - Factoring Completely Factor each polynomial completely Use the methods discussed in Sections 5.1 through 5.3 If the

MAT 221 Week 5 Discussion - Factoring Completely Factor...

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Factoring Completely Factor each polynomial completely. Use the methods discussed in Sections 5.1 through 5.3. If the polynomial is prime say so. Problem 82: 9w- w 3 Every term has a GCF of w w(3-w 2 ) The common factor will be removed and the problem is now completely factored. Problem 96: 2a 2 + 3a+1 this polynomial is also a perfect square. The method that we will be using to factor this polynomial is the AC method. a = 2; b = 3; c =1; ac = 2 Since b is a positive number and c is a positive number, we know that 2 is the sum of two positive numbers. These two numbers are 1 and 1 because they make a product of 1 and a sum of 1. (2a+1)(a+1) Factored by grouping. Checked by multiplying it back together. Problem 58: 106. h 2 – 9hs+9s 2 This polynomial is now completely factored. No further work is needed since these terms are prime factors.

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