Number 26:

If f ( x )=a x3+b x2+cx , determine a, b, and c so that the graph of f will have a POI at (1,2) and so that the slope of the inflectional tangent there will be -2

Number 27:

If f ( x )=a x3+b x2+cx+d, determine a, b, c, and d, so that f will have a relative extremum at

(0, 3) and so that the graph of f will have a POI at (1, -1)