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# MATH 115 LECTURE 2 MATH 115

Towson

GPA 3.94

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This 2 page Class Notes was uploaded by Stacy Downing on Thursday February 4, 2016. The Class Notes belongs to MATH 115 at Towson University taught by Ellen M. Johnson in Fall 2015. Since its upload, it has received 11 views. For similar materials see Basic Math for The Sciences in Mathmatics at Towson University.

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Date Created: 02/04/16

Lecture 2- Johnson Factor: o x + 6x + 8 (x+4)(x+2) 2 o x – 64 (x+8)(x-8) o x – 5x -14 (x-7)(x-2) o 4x – 100 4(x – 25) 4(x-5)(x+5) Difference and Sum of Perfect Cubes (S.O.A.P) 3 3 2 2 o A – B = (A – B) (A + AB + B ) x -64 (x-4)(x + 4x +16) o A + B = (A + B)(A - AB + B ) 2 x – 1 (x+1)(x -x+1) 3 ? What can you exclude from the domain of x x ≠ 0 3x o x−2 ,x ≠ 2 9x ,x≠3,−6 o x +3x−18 Simplify 2 (x+1 )x−1 ) x −1 → →x≠−1→ x−1 o x +2x+1 (x+1 )x+1 ) x+1 x+3 x −x−6 x+3 (x−3 )(2 ) (x−3 ) o 2 ∙ 2 → ∙ →x ≠2,−2,3→ x −4 x +6 x+9 x−2 )(x+2 ) x+3 )x+3 ) x−2 )(x+3) 2 x −2 x−8 x−4 (x−4 )(x+2) x+3 x+2 o 2 ÷ x+3 →x≠−3,3,4→ (x−3 )(x+3)∙x−4 = x−3 x −9 Adding/ Subtracting Fractions 8 − = 4 o 5 3 3 x 3 x+2 x− (3 x+2) −2 x−2 o − →x ≠1→ → =−2 x+1 x+1 x+1 x+1 3 + 5 → 3 x−1 ) + 5(x+1) → 3x−3+5x+5 → x≠1,−1→ 8x+2 o x+1 x−1 (x+1 )x−1 ) (x−1 )(x+1) (x+1 )x−1 ) (x+1 )x−1 ) Graphing 2 o y = 4- x x-intercept: (2,0) and (-2,0) y-intercept: (0,4) Passes the vertical line test so it’s a function X y=4- (x,y) x2 -2 0 (- 2,0) -1 3 (- 1,3) 0 4 (0,4) 1 3 (1,3) 2 0 (2,)

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