For the polynomial x 4 ax 3 bx 2 c 0, with roots , , and it is given that 2, 1 and 2 2 2 2 0 Find the values of the coefficients a, b and c ...

A polynomial of degree 4 can be expressed as xxxx 0 where and are the roots of ...

For the polynomial x 4 + ax 3 + bx 2 + c = 0, with roots

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For the polynomial x⁴ + ax³ + bx² + c = 0, with roots α, β, γ and δ it is given that α + β + γ + δ = 2, αβγδ = 1 and α² + β² + γ² + δ² = 0. Find the values of the coefficients a, b and c.

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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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For the polynomial x 4 + ax 3 + bx 2 + c = 0, with roots

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Cambridge International AS & A Level Further Mathematics Coursebook

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