The complex number 1 +(2)i is denoted by u. The polynomial x 4 + x 2 +

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The complex number 1 +(√2)i is denoted by u. The polynomial x⁴ + x² + 2x + 6 is denoted by p(x).

i. Showing your working, verify that u is a root of the equation p(x) = 0, and write down a second complex root of the equation.

ii. Find the other two roots of the equation p(x) = 0.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Apr 09, 2023 05:26 AM

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The complex number 1 +(2)i is denoted by u. The polynomial x 4 + x 2 +

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i To verify that u is a root of the equation px 0 we can substitute u into the equation and check if ...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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