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P(x) is a least degree polynomial such t...

`P(x)` is a least degree polynomial such that `(P(x)-1)` in divisible by `(x-1)^(2)` and `(P(x)-3)`is divisible by `((x+1)^2)` ,then (A) graph of `y=P(x)`,is symmetric about origin (B) `y=P(x)`,has two points of extrema (C) `int_(-1)^(2)P(x)dx=0` for exactly one value of `lambda`. (D) `int_(-1)^(2)P(x)dx=0` for exactly two values of `lambda`

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