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(a) Given that 2+i is a complex root of the cubic polynomial r³ −11x+20, determine the other two roots (without using a calculator). (b) Hence, (and without using a calculator) determine 37 x³ - 11x + for some a, √7³- (Hint: Use the result of part (a) to write 20 dx. x³ - 11x + 20 = (x − a)(x² + bx + c) b and c, and use partial fractions.)

(a) Given that 2+i is a complex root of the cubic polynomial r³ −11x+20, determine the other two roots (without using a calculator). (b) Hence, (and without using a calculator) determine 37 x³ - 11x + for some a, √7³- (Hint: Use the result of part (a) to write 20 dx. x³ - 11x + 20 = (x − a)(x² + bx + c) b and c, and use partial fractions.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. (a) Given that 2+i is a complex root of the cubic polynomial ³-11x+20, determine the other two roots (without using a calculator). (b) Hence, (and without using a calculator) determine 37 - 11x + 20 (Hint: Use the result of part (a) to write dx. x³ - 11x + 20 = (x − a)(x² + bx + c) for some a, b and c, and use partial fractions.)
Transcribed Image Text:1. (a) Given that 2+i is a complex root of the cubic polynomial ³-11x+20, determine the other two roots (without using a calculator). (b) Hence, (and without using a calculator) determine 37 - 11x + 20 (Hint: Use the result of part (a) to write dx. x³ - 11x + 20 = (x − a)(x² + bx + c) for some a, b and c, and use partial fractions.)
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