Chapter 8 Notes

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Example for Problems 9-12x 3 + x - 10 = 0; - 1 + 2i- 1 + 2i 1 0 1 -10- 1 + 2i -3-4i 10-1-2i 1 - 1 + 2i -2-4i 0-1-2i 2 + 4i1 -2 0x - 2 = 0x = - 1 + 2i, - 1 - 2i, 2
Example for Problems 13-20• x 4 + 2x 3 + x 2 + 1 = 0• If x is positive then the terms are: (+) (+) (+) (+). Thereare no sign changes so there are no positive real roots.• If x is negative then the terms are (+) (-) (+) (+). Thereare two sign changes so there are either 2 negative realroots or no negative real roots.• The polynomial is degree 4 so there are 4 roots:– no positive real roots– two negative real root– two imaginary rootsOR– no positive real roots– no negative real roots– four imaginary roots
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: Example for Problems 5-8x 3 -3x 2 +
Page 43 and 44: Example for Problems 23 & 24x 3 + 2
Page 45 and 46: Objectives• to find the rational
Page 47 and 48: Steps for the homework• Use Desca
Page 49 and 50: • 2x 2 - 4x + 4 = 0: has a GCF of
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

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