Math 1315-003 MATH 1315 - 003
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This 1 page Class Notes was uploaded by Alexis Williams on Sunday September 11, 2016. The Class Notes belongs to MATH 1315 - 003 at University of Texas at Arlington taught by Shelley D Hamilton in Fall 2016. Since its upload, it has received 9 views. For similar materials see COLLEGE ALGEBRA FOR ECONOMICS & BUSINESS ANALYSIS in Math at University of Texas at Arlington.
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Date Created: 09/11/16
1.3 Factoring Math 1315-003 Greatest Common Factor: When finding the greatest common factor (GCF) you need to see what you can take out of the equation. 12p-18q: 12p-18q = here you can take out a 6 because they are both divisible by 6. = 6(2p-3q) 8x^3 – 9x^2 +15x: 8x^3-9x^2+15x = x (8x^2-9x+15) 5(4x-3) ^3+2(4x-3) ^2 = in this equation the common factor is (4x-3) so we will take that out of the equation. 5(4x-3) ^3+2(4x-3) ^2 = (4x-3) ^2 (5(4x-3) +2) = (4x-3) ^2 (20x-15+2) =(4x-3) ^2 (20x-13) Factoring Quadratics: When factoring quadratics, with the constant you see what two numbers can multiply to get the constant and you need to make sure that it can also add to the middle term. X^2+9x+18. With 18 you can use 6 and 3 because they both will multiply to get 18 and when you add them together you will get 9. So the answer will be (x+3)(x+6). To double check this answer you can FOIL to see if it goes back to x^2+9x+18. X^2+3x-10 = (x-2)(x+5) 4y^2-11y+6 = (y-2)(4y-3) X^2-4x+3 = (x-3)(x-1) 2y^2-5y+2 = (y-2)(2y-1) ***These notes come from the lectures and the textbook: Applications in mathematics
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