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The curve y=ax^(3)+bx^(2)+cx+5 touches t...

The curve `y=ax^(3)+bx^(2)+cx+5` touches the x-axis at `P(-2,0)` and cuts the y-axis at a point Q where its gradient is 3. Find a,b,c.

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The correct Answer is:
`a=-(1)/(2), b=-(3)/(4), c=3`
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