If f(x)=(x^(2)+3x+2)(x^(2)-7x+a) and g(x...

If `f(x)=(x^(2)+3x+2)(x^(2)-7x+a)` and `g(x)=(x^(2)-x-12)(x^(2)+5x+b)`, then the value of `a` and `b`, if `(x+1)(x-4)` is H.C.F. of `f(x)` and `g(x)` is

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