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U5D11 Rational Root Theorem Notes 1 January 10, 2014

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Page 1: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

1

January 10, 2014

Page 2: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

2

January 10, 2014

Content Objective: You will be able to use the Rational Root Theorem in conjunction with the graphing calculator to find the real roots of a polynomial 

Essential Skill: DM­1 Use the graphing calculator to advance our critical thinking and construct knowledge.

Page 3: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

3

January 10, 2014

Page 4: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

4

January 10, 2014

Page 5: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

5

January 10, 2014

Page 6: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

6

January 10, 2014

Page 7: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

7

January 10, 2014

Page 8: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

8

January 10, 2014

Page 9: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

9

January 10, 2014

Page 10: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

10

January 10, 2014

Page 11: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

11

January 10, 2014

Closure:

Answer the following questions on the back of your packet. Work with the person next to you.

1. Why do you think we use the graphing calculator with the Rational Root Theorem? (Think: Why is it helpful, is there a better way, could we do it by hand? etc.)

Page 12: U5D11 Rational Root Theorem Notes · Step 1 Use the Rational Root Theorem to identify possible rational roots. p = 2 and q = 2 Step 2 Graph y = 2x3 — 9x2 + 2 to find the x-intercepts

U5D11 Rational Root Theorem Notes

12

January 10, 2014

Content Objective: You will be able to use the Rational Root Theorem in conjunction with the graphing calculator to find the real roots of a polynomial 

Essential Skill: DM­1 Use the graphing calculator to advance our critical thinking and construct knowledge.


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