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A curve with equation of the form y=a x^...

A curve with equation of the form `y=a x^4+b x^3+c x+d` has zero gradient at the point (0, 1) and also touches the x-axis at the point `(-1,0)` then `a=3` (b) `b=4` `c+d=1` for `x<-1,` the curve has a negative gradient

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