Roots Of Polynomial Equations

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1. $G i v e n space t h a t space o n e space r o o t space o f space t h e space e q u a t i o n space x cubed minus 5 x squared plus 17 x minus 13 equals 0 space i s space 2 plus 3 i comma space t h e space o t h e r space r o o t s space o f space t h e space e q u a t i o n space a r e space.....$

2-3i and 1

2-3i and 2

2+i and 2

3+2i and 1

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About This Quiz

Explore the fascinating world of polynomial equations in this quiz focused on finding their roots. Test your skills in algebra and enhance your understanding of mathematical relationships and... see moreproblem-solving techniques. see less

T h e space c u b i c space e q u a t i o n space 3 x cubed plus p x squared plus q x plus 15 equals 0 space h a s space r o o t s space alpha space comma space 1 minus 2 alpha comma space 1 over alpha. T h e space r o o t s space o f space t h e space e q u a t i o n space a r e space...

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3. $T h e space r o o t s space o f space t h e space e q u a t i o n space 3 x cubed plus 12 x squared plus 7 x minus 5 equals 0 space a r e space alpha comma space beta space a n d space gamma. T h e space v a l u e space o f space alpha plus beta plus gamma space i s space space.....$

-4

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4. $T h e space r o o t s space o f space t h e space e q u a t i o n space 4 x cubed plus 7 x squared minus 8 x minus 3 equals 0 space a r e space alpha comma space beta space a n d space gamma. A n space e q u a t i o n space w i t h space r o o t s space 1 over alpha comma space fraction numerator 1 over denominator beta space end fraction a n d space 1 over gamma space i s space....$

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5. $T h e space r o o t s space o f space t h e space e q u a t i o n space 4 x to the power of 4 plus 7 x cubed minus 18 x minus 16 equals 0 space a r e space alpha comma space beta comma gamma space a n d space delta. T h e space v a l u e space o f space alpha beta gamma delta space i s space.....$

-4

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6. $O n e space r o o t space o f space t h e space e q u a t i o n space x squared plus left parenthesis 7 plus i right parenthesis x plus q equals 0 space i s space 2 plus 3 i. T h e space o t h e r space r o o t space o f space t h e space e q u a t i o n space i s space....$

-9 - 4i

2 - 3i

-2 + 3i

5 + 2i

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7. $T h e space c u b i c space e q u a t i o n space 3 x cubed plus p x squared plus q x plus 15 equals 0 space h a s space r o o t s space alpha comma space 1 minus 2 alpha comma space fraction numerator 1 over denominator alpha space end fraction. T h e space v a l u e s space o f space p space a n d space q space a r e space...$

P = -5 and q = -47

P = 5 and q = -47

P = 5 and q =47

P = -5 and q =47

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8. $G i v e n space t h a t space x space equals 2 i space i s space o n e space r o o t space o f space t h e space e q u a t i o n space x to the power of 4 plus 2 x cubed plus 9 x squared plus 8 x plus 20 equals 0 comma space t h e space o t h e r space r o o t s space o f space t h e space e q u a t i o n s space a r e space....$

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9. $O n space r o o t space o f space t h e space e q u a t i o n space 4 x cubed minus 13 x plus 6 equals 0 space i s space t h r e e space t i m e s space a n o t h e r. T h e space r o o t s space o f space t h e space e q u a t i o n space a r e space...$

-1 , -3 and 4

1, 3 and -4

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10. $T h e space r o o t s space o f space t h e space e q u a t i o n space a x cubed plus b x squared plus c x plus d equals 0 space a r e space alpha comma beta space a n d space gamma. I f space alpha plus beta plus gamma equals 6 space a n d space alpha squared plus beta squared plus gamma squared equals 12 comma space t h e space v a l u e space o f space alpha beta plus alpha gamma plus beta gamma i s space.....$

-12

-24

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Mar 20, 2023

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Oct 23, 2015

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