Remainder & Factor Thms Finding Rational Roots

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Presentation transcript:

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

Reminder and Factor Thrm. Finding Rational Roots Answer page Reminder and Factor Thrm. More Thrms. And Rules. Finding Rational Roots Is x+1 a factor of x15-3x-2 Yes Accord. To Descartes Rule, what is the possible # of positive roots of x3-2x2-5=0 1 Possible List the possible rational roots of 4x4+3x2-1=0 ± 1 , ± 2, ± 1/4 Find a poly. Whose roots are 0 and -1 d.r. X3+2x2+x Accord. To Descartes Rule, what is the possible # of negative roots of x3-2x2-5=0 0 Negative Solve over the real #’s x3-7x-6=0 (-1, -2, 3) Solve 2y3-5y2-4y+3 with root 3 3,-1,1/2 Find a cubric eq. w/ R coffs. That has the roots -1, 3-I X3-5x2+4x+10=0 Solve over the complex #’s 4x4-4x3+5x2-4x+1=0 1/2 (d.r.), ± i Solve x4-x3-2x-4=0 with root (±i, , -1, 2/3) Find the remaining roots of x4+x3+6x2-14x-20=0 -1 -3i ,-1 Solve over the Real #’s 2x3+x2-6x-3-x4+2x3-2x2+18=0 Solve 3x4-5x3-7x2+3x+2=0 (1± , -1, 2/3) Solve x4+12x-5=0 (1±2i, -1 ± Solve over the complex #’s 6x4+x3+23x2+4x-4=0 1/3, -1/2, ± 2i

Is x+1 a factor of x15 - 3x – 2 ? Correct Question Topic 1 – 100 / Answer

C1-100 Q What is yes Topic 1- 100 / Question

Find a polynomial whose roots are 0 and -1 double root C1 - 200 Correct Question Topic 1 – 200 / Answer

x3 + 2x2 + x C1-200 Q What is Topic 1- 200 / Question

Solve 2y3 – 5y2 – 4y + 3 with root 3 Correct Question Topic 1 – 300 / Answer

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

Solve x4 – x3 – 2x – 4 = 0 with root Correct Question Topic 1 – 400 / Answer

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

Solve 3x4–5x3–7x2+3x+2=0 given root Correct Question Topic 1 – 500 / Answer

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

According to Descartes’ Rule, what is the possible # of positive roots of x3-2x2-5=0 C2 - 100 Correct Question Topic 2 – 100 / Answer

C2-100 Q What is 1 positive Topic 2- 100 / Question

According to Descartes’ Rule, what is the possible # of negative roots of x3-2x2-5=0 C2 - 200 Correct Question Topic 2 – 200 / Answer

C2-200 Q What is 0 negative roots Topic 2- 200 / Question

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

What is x3-5x2+4x+10=0 C2-300 Q Topic 2- 300 / Question

Find the remaining roots of x4+x3+6x2-14x-20=0 given its roots 2 and -1+3i C2 - 400 Correct Question Topic 2 – 400 / Answer

C2-400 Q What are -1-3i and -1 Topic 2- 400 / Question

Solve x4+12x-5=0 given 1-2i is a root. C2 - 500 Correct Question Topic 2 – 500 / Answer

C2-500 Q What are Topic 2- 500 / Question

List the possible rational roots of 4x4 + 3x2 – 1 = 0 C3 - 100 Correct Question Topic 3 – 100 / Answer

C3-100 Q What is Topic 3- 100 / Question

Solve over the Real numbers: x3 – 7x – 6 = 0 C3 - 200 Correct Question Topic 3 – 200 / Answer

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

Solve over the complex numbers: 4x4-4x3+5x2-4x+1=0 Correct Question Topic 3 – 300 / Answer

What are ½ d.r., i,-i C3-300Q Topic 3- 300 / Question

Solve over the complex numbers: 2x3 + x2 - 6x – 3 =0 Correct Question Topic 3 – 400 / Answer

What are -1/2, C3-400Q Topic 3- 400 / Question

Solve over the complex numbers: 6x4+x3+23x2+4x-4=0 C3 - 500 Correct Question Topic 3 – 500 / Answer

C3-500Q What is Topic 3- 500 / Question

POD