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Game page Remainder & Factor Thms More Thms Finding Rational Roots 100 200 300 400 500.

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Presentation on theme: "Game page Remainder & Factor Thms More Thms Finding Rational Roots 100 200 300 400 500."— Presentation transcript:

1 Game page Remainder & Factor Thms More Thms Finding Rational Roots

2 Is x+1 a factor of x 15 -3x- 2 Yes Accord. To Descartes Rule, what is the possible # of positive roots of x 3 - 2x 2 -5=0 1 Possible List the possible rational roots of 4x 4 +3x 2 -1=0 ± 1, ± 2, ± 1/4 Find a poly. Whose roots are 0 and -1 d.r. X 3 +2x 2 +x Accord. To Descartes Rule, what is the possible # of negative roots of x 3 -2x 2 -5=0 0 Negative Solve over the real #s x 3- 7x-6=0 (-1, -2, 3) Solve 2y 3 -5y2-4y+3 with root 3 3,-1,1/2 Find a cubric eq. w/ R coffs. That has the roots -1, 3-I X 3 -5x 2 +4x+10=0 Solve over the complex #s 4x 4 -4x 3 +5x 2 -4x+1=0 1/2 (d.r.), ± i Solve x 4 -x 3 -2x-4=0 with root (±i,, -1, 2/3) Find the remaining roots of x 4 +x 3 +6x 2 -14x-20= i,-1 Solve over the Real #s 2x 3 +x 2 -6x-3-x 4 +2x 3 - 2x 2 +18=0 Solve 3x 4 -5x 3 - 7x 2 +3x+2=0 (1±, -1, 2/3) Solve x 4 +12x-5=0 (1±2i, -1 ± Solve over the complex #s 6x 4 +x 3 +23x 2 +4x-4=0 1/3, -1/2, ± 2i Finding Rational Roots Answer page Reminder and Factor Thrm. More Thrms. And Rules.

3 Is x+1 a factor of x x – 2 ? C1 – 100 Topic 1 – 100 / Answer Correct Question

4 C1-100 Q Topic / Question What is yes

5 Find a polynomial whose roots are 0 and -1 double root C Topic 1 – 200 / Answer Correct Question

6 x 3 + 2x 2 + x C1-200 Q What is Topic / Question

7 Solve 2y 3 – 5y 2 – 4y + 3 with root 3 C Topic 1 – 300 / Answer Correct Question

8 C1-300 Q What is 3,-1, ½ Topic / Question

9 Solve x 4 – x 3 – 2x – 4 = 0 with root C Topic 1 – 400 / Answer Correct Question

10 C1-400 Q What are -1,2, Topic / Question

11 Solve 3x 4 –5x 3 –7x 2 +3x+2=0 given root C Topic 1 – 500 / Answer Correct Question

12 C1-500 Q What are, -1, 2/3 Topic / Question

13 According to Descartes Rule, what is the possible # of positive roots of x 3 -2x 2 -5=0 C Topic 2 – 100 / Answer Correct Question

14 C2-100 Q What is 1 positive Topic / Question

15 According to Descartes Rule, what is the possible # of negative roots of x 3 -2x 2 -5=0 C Topic 2 – 200 / Answer Correct Question

16 C2-200 Q What is 0 negative roots Topic / Question

17 Find a cubic equation with real coefficients that has the roots -1 and 3-i. C2 – 300 Topic 2 – 300 / Answer Correct Question

18 C2-300 Q What is x 3 -5x 2 +4x+10=0 Topic / Question

19 Find the remaining roots of x 4 +x 3 +6x 2 -14x-20=0 given its roots 2 and -1+3i C Topic 2 – 400 / Answer Correct Question

20 C2-400 Q What are -1-3i and -1 Topic / Question

21 Solve x 4 +12x-5=0 given 1-2i is a root. C Topic 2 – 500 / Answer Correct Question

22 C2-500 Q What are Topic / Question

23 List the possible rational roots of 4x 4 + 3x 2 – 1 = 0 C Topic 3 – 100 / Answer Correct Question

24 C3-100 Q What is Topic / Question

25 Solve over the Real numbers: x 3 – 7x – 6 = 0 C Topic 3 – 200 / Answer Correct Question

26 C3-200Q Topic / Question What are -1,-2,3

27 C Topic 3 – 300 / Answer Correct Question Solve over the complex numbers: 4x 4 -4x 3 +5x 2 -4x+1=0

28 What are ½ d.r., i,-i C3-300Q Topic / Question

29 Solve over the complex numbers: 2x 3 + x 2 - 6x – 3 =0 C Topic 3 – 400 / Answer Correct Question

30 C3-400Q Topic / Question What are -1/2,

31 C Topic 3 – 500 / Answer Correct Question Solve over the complex numbers: 6x 4 +x 3 +23x 2 +4x-4=0

32 C3-500Q Topic / Question What is

33 POD


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