Question

If alpha and beta are zeros of polynomial fracture equals to 3X square minus 7X +6 find a polynomial who is zeros are alpha square and beta square

Answer 1

alpha plus beta will be equal to -b/a=7/3
and alpha *beta is equal to c/a=6/3=2
the required polynomial will be x2-(alpha+beta)2-2alphaxbeta+[alphaxbeta]
=x2-(49/9)x-2


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