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## STAT week 2

by: Carrie Notetaker

7

0

2

# STAT week 2 STAT 1001 - 702

Carrie Notetaker
Temple

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## About this Document

Polynomials, Expressions, Exponents, Rational
COURSE
QUANTITATIVE METHODS FOR BUSINESS I
PROF.
Kapanjie
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Math, Statistics, Algebra
KARMA
Free

## Popular in Business

This 2 page Class Notes was uploaded by Carrie Notetaker on Sunday September 11, 2016. The Class Notes belongs to STAT 1001 - 702 at Temple University taught by Kapanjie in Fall 2016. Since its upload, it has received 7 views. For similar materials see QUANTITATIVE METHODS FOR BUSINESS I in Business at Temple University.

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Date Created: 09/11/16
STAT 09/06 Polynomials  Add and subtracting: add/subtract coefficients (combine like terms)  Always write your answer in descending order  Multiplying: distribute; multiply coefficients first and then add the exponents (w/ same base) FOIL  Business application: Linear cost: c (x)= mx + b Revenue: R (x)= px Profit: P (x)= R(x) – C(x) 1. m: marginal/variable cost b: fixed cost ex: b= one-time startup cost (iPhone) m= iPhone case, insurance 2. p: selling price ex: r(x)= 500x x= units sold Factoring  GCF (greatest common factor) ex: 12x−3=3(4x−1) ex: 3x –4x +7x =x (3x −4x +7) 4 2  Factor trinomials x +bx+c 1. Find two numbers that multiply to c and add t2 b 2. When dealing with binomials such as 9x –16 you just take the square root and multiply it by the congruent 2  Factor trinomials a x +bx+c 2 1. Trial and error method ex: 3x – x–2= (3x+2 )x–1 ) STAT 09/08 Rational expressions  Simplify expressions into lowest terms: find common factor and cancel ex: 8 18x 3x 24x 7= 4  You can only cancel factors, not sums  You can only cancel 1 for 1  Multiply expressions and simplify find common factor and cancel until in lowest form, then multiply across  Sometimes you will have to factor to cancel  Divide expressions and simplify: factor, flip, and multiply  Whenever you divide fractions, multiply by the reciprocal  Always check your factoring! Exponents and Radicals 1. Properties of exponents n m n+m  a xa =a an n−m  m=a a  a =1 −n n  a =1/a m  (an) =a nm n pm nm pm  (a xb ) =a xb 2. Radicals and Rational exponents m √ am ¿  = a n

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