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Let P (x) be a cubic polynomical with le...

Let P (x) be a cubic polynomical with leading co-efficient unity. Let the remainder when P (x) is divided by `x ^(2)-5x+6` equals 2 times the remainder when P (x) is divided by `x ^(2)-5x+4.` If `P (0)=100,` find the sum of the digits of `P (5),`

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