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let f (x) be a polynomial of degree at most 5 such that f (x) leaves remainder -2 when divided by (x+1)^3 and leaves remainder 2 when divided by (x-1)^3 find total number of real roots of f (x)=0

let f (x) be a polynomial of degree at most 5 such that f (x) leaves remainder -2 when divided by (x+1)^3 and leaves remainder 2 when divided by (x-1)^3 find total number of real roots of f (x)=0

Grade:11

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