The polynomial 3x 4 2x 3 7x 2 4 0 has roots , , , where S n n n n n a Find the values of S 1 and S 2 b Find the values of S 3 and S 4 c Are there any complex roots Give a reason for your answer ...

a The polynomial 3x4 2x3 7x2 4 0 can be factored as xxxx 0 where and a ...

The polynomial 3x 4 + 2x 3 + 7x 2 + 4 = 0 has roots ,

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The polynomial 3x⁴ + 2x³ + 7x² + 4 = 0 has roots α, β, γ δ, where S_n = αⁿ + βⁿ + γⁿ + δⁿ.

a. Find the values of S₁ and S₂.

b. Find the values of S₃ and S₄.

c. Are there any complex roots? Give a reason for your answer.

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Sep 23, 2021 02:15 AM

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The polynomial 3x 4 + 2x 3 + 7x 2 + 4 = 0 has roots ,

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Cambridge International AS & A Level Further Mathematics Coursebook

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