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4.a) Show that (1+2i) is a zero of the polynomial Qcx) = x²-6x*+3x -20. Hence , or otheruwise, write Qu) as product of a linear and a quadratic. b) The polynomial, fa) = 2x" +mz-3, where m and n are real constants, %3D is divisible by (x+1) but leaves a feminder remainder of 156 when divided by (X-3). Find the valves of n and m.

4.a) Show that (1+2i) is a zero of the polynomial Qcx) = x²-6x*+3x -20. Hence , or otheruwise, write Qu) as product of a linear and a quadratic. b) The polynomial, fa) = 2x" +mz-3, where m and n are real constants, %3D is divisible by (x+1) but leaves a feminder remainder of 156 when divided by (X-3). Find the valves of n and m.

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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4-a) Show that (1I+2;) is a zero of the polynomial Qcx) = x²-6x*H3x -20. Hence , or otherwise, write Qu) as a product of a linear and a quadratic. b) The polynomial, fW) =2x" +mx-3, where m and n are real constants, is divisible by (x+1) but leaver a femiader remainder of 156 when divided by (X-3). Find the values of n and m.
Transcribed Image Text:4-a) Show that (1I+2;) is a zero of the polynomial Qcx) = x²-6x*H3x -20. Hence , or otherwise, write Qu) as a product of a linear and a quadratic. b) The polynomial, fW) =2x" +mx-3, where m and n are real constants, is divisible by (x+1) but leaver a femiader remainder of 156 when divided by (X-3). Find the values of n and m.
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