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## MATH 115 LECTURE 2

by: Stacy Downing

11

0

2

# MATH 115 LECTURE 2 MATH 115

Marketplace > Towson University > Mathmatics > MATH 115 > MATH 115 LECTURE 2
Stacy Downing
Towson
GPA 3.94

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A great review of perfect cubes, simplifying complex fractions with variable and adding/subtracting fractions with variables
COURSE
Basic Math for The Sciences
PROF.
Ellen M. Johnson
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Math
KARMA
25 ?

## Popular in Mathmatics

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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