Example 1.  Find the cubic polynomial or that passes through the four points
  and satisfies
          

Solution 1.

Enter the formula for a general cubic equation.

Set up four equations using the information at each of the four points.  

Then find the solution set to this linear system and store it in the variable solset.

Use the solution given above for the coefficients and form the cubic function.  
Remember that we must dig out one set of braces using   before we can use the ReplaceAll command.  

Now form the cubic polynomial function   and plot a graph.  

(c) John H. Mathews 2004