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Question

Write the polynomial whose zeroes are -2-3and2-3.


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Solution

Form a polynomial whose zeroes are given by α=-2-3andβ=2-3:

x-αx-β=x+2+3x-2+3=x+3+2x+3-2=x+32-4a2-b2=a+ba-b=x2+3+23x-4=x2+23x-1

Hence, the required polynomial is x2+23x-1.


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