Find a quadratic polynomial, having sum of its zeroes 5 and product of its zeroes as -14.
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let the quadratic polynomial be ax²+bx+c,and its
zeroes be α β.we have α+β =-5= -b/a
and αβ= 14=c/a
if we take a = 1,b = 5,c = 14
so one quadratic polynomial which fits the given conditions is x²+5x+14
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