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 156when divided by (X-3). Find the values of n and m.

Answered: Image /qna-images/answer/6a3be4d8-1326-41cd-95fb-323101c6e43e.jpg

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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 54E

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