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Let S denote the set of all polynomials ...

Let `S` denote the set of all polynomials `p(x)` of degree `le 2` such that `p(1)=1,P(0)=0 and P'(x) gt 0 AA x in [0,1],` then `S=phi` b. `S={(1-a)x^2+ax;0`

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