There will be many polynomials of degree 3 that pass through the points (1, 2), (3, 4)
Chapter 1, Problem 21(choose chapter or problem)
There will be many polynomials of degree 3 that pass through the points (1, 2), (3, 4), and (4, 8). The situation can be described by a system of three linear equations in four variables that has many solutions. Find an equation (involving a parameter) that represents this family of polynomials. Determine the unique polynomial of degree 3 passing through these points for which the coefficient of x 3 is 1.
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