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Question

Find all the zeros of the polynomial 2x3+x26x3, if two of its zeros are 3 and 3.

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Solution

Sum of zeroes =fraction numerator negative space left parenthesis space c o e f f i c i e n t space o f space x ² right parenthesis over denominator left parenthesis c o e f f i c i e n t space o f space x ³ right parenthesis end fraction
Let the third root be x,
then
x + square root of 3- square root of 3= fraction numerator negative 1 over denominator 2 end fraction
x =fraction numerator negative 1 over denominator 2 end fraction

So, the third root is fraction numerator negative 1 over denominator 2 end fraction

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