1. Find all zeros of the Polynomial 2x^4-9x^3+5x^2+3x-1, if two of its zeros are 2+sqrt 3 and 2-sqrt3.

Asked by bhuvisen | 18th Apr, 2014, 09:39: AM

Expert Answer:

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N o w space l e t space u s space f a c t o r i z e space 2 x squared minus x minus 1 : 2 x squared minus x minus 1 equals 0 rightwards double arrow 2 x squared minus 2 x plus x minus 1 equals 0 rightwards double arrow 2 x open parentheses x minus 1 close parentheses plus 1 open parentheses x minus 1 close parentheses equals 0 rightwards double arrow open parentheses 2 x plus 1 close parentheses open parentheses x minus 1 close parentheses equals 0 rightwards double arrow 2 x plus 1 equals 0 space o r space x minus 1 equals 0 rightwards double arrow 2 x equals minus 1 space o r space x equals 1 rightwards double arrow x equals fraction numerator minus 1 over denominator 2 end fraction space o r space x equals 1 T h u s space t h e space z e r o s space o f space t h e space g i v e n space p o l y n o m i a l space a r e : 2 plus square root of 3 comma 2 minus square root of 3 comma space fraction numerator minus 1 over denominator 2 end fraction comma 1

Answered by  | 19th Apr, 2014, 05:52: AM

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