Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7...

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Polynomials: Factors, Roots, and Theorems Notes, Definitions, Examples, and Practice Test (w/solutions) Includes intercepts, Factor, Remainder & Rational Root Theorems, conjugates, synthetic division, and more… Mathplane.com

Transcript of Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7...

Page 1: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:

Polynomials: Factors, Roots, and

Theorems

Notes, Definitions, Examples, and Practice Test

(w/solutions)

Includes intercepts, Factor, Remainder & Rational Root Theorems, conjugates,

synthetic division, and more…

Mathplane.com

Page 2: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 3: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 4: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 5: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 6: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 7: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 8: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 9: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 10: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 11: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 12: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 13: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:

PRACTICE Exercises (w/SOLUTIONS)-

Page 14: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 15: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 16: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 17: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 18: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 19: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 20: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 21: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 22: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 23: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 24: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 25: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 26: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 27: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:
Page 28: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:

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Page 29: Polynomials: Factors, Roots, and Theorems - The Math Plane · 2017. 12. 16. · so, roots are 3, 7 Sum: 3+7=10 Product: 3 x 7-21 so, roots are 3/2, 5, -2 Sum: 3/2+5+-2=9/2 Product:

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