If alfa beta are the zeros polynomial such that alfa+bet= 6 and alda×beta=4 then write the polynomial
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alfa+bita=6 = 6/1 = - ( - 6/1) = - b/a
alfa*bita= 4 = 4/1 = c/a
therefore, a = 1, b= -6, c= 4
The req. poly. is-
axsq+by+c
=1*xsq+(-6)*y+4
=xsq-6y+4
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