Chapter 8 Notes

More documents

Recommendations

Info

Example for the homework• 2x 3 -3x 2 + 2x + 2 = 0. When x is (+) there are two signchanges; therefore, there are either 2 or 0 positive realroots. When x is (-) there is one sign change; therefore,there is one negative real root.• rational root theorem:± 1±± 1±22=⎧⎨±1±⎩2 ±1⎫⎬2⎭•- ½ 2 -3 2 2-1 2 -22 -4 4 0Start synthetic divisionwith the negativenumbers because there isexactly one according toDescartes. There mightnot be any positivenumbers.
• 2x 2 - 4x + 4 = 0: has a GCF of 2• x 2 - 2x + 2 = 0: does not factor2 ± 4 − ( 4)( 1)( 2)= 1±i2• x = ⎧ 1 ⎫⎨−,1+i,1-i⎬⎩ 2 ⎭
Page 1 and 2: Section 8-1Direct Variation and Pro
Page 3 and 4: Direct Variation• A linear functi
Page 5 and 6: Section 8-2Inverse and Joint Variat
Page 7 and 8: Inverse Variation• a function def
Page 9 and 10: Example Homework Problem• Suppose
Page 11 and 12: Objectives• to perform polynomial
Page 13 and 14: Steps to perform polynomial long di
Page 15 and 16: Example of polynomial long division
Page 17 and 18: Section 8-4Synthetic Division
Page 19 and 20: Synthetic Division• Synthetic div
Page 21 and 22: Example of synthetic division2x32
Page 23 and 24: Objectives• to use synthetic subs
Page 25 and 26: Steps for homework problems• Prob
Page 27 and 28: Example for Problems 1-8P(x) = x 3
Page 29 and 30: Example for Problems 17-20x 3 + 3x
Page 31 and 32: Example for Problems 29-32x 4 -3x 3
Page 33 and 34: Example for Problems 35-37P(x) = x
Page 35 and 36: Objectives• to write a polynomial
Page 37 and 38: Steps for Homework Problems• Prob
Page 39 and 40: Example for Problems 5-8x 3 -3x 2 +
Page 41 and 42: Example for Problems 13-20• x 4 +
Page 43 and 44: Example for Problems 23 & 24x 3 + 2
Page 45 and 46: Objectives• to find the rational
Page 47: Steps for the homework• Use Desca
Page 51 and 52: Objectives• to approximate to the
Page 53 and 54: Steps for homework• Perform Desca
Page 55 and 56: 1 1 -3 0 0 51 -2 -2 -21 -2 -2 -2 32
Page 57 and 58: Objectives• to approximate values
Page 59: Example Homework Problem• Approxi

Chapter 8 Notes

Create successful ePaper yourself

Delete template?

Save as template?