Question 1152735: determine the polynomial whoes graph passes through the points (2,4),(3,4),(4,4)
Found 3 solutions by MathLover1, Alan3354, greenestamps:
Answer by MathLover1(20849)   (Show Source):
Answer by Alan3354(69443)  (Show Source):
Answer by greenestamps(13198)  (Show Source):
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The question is very poorly presented. There is no answer for "THE" polynomial whose graph passes through the three points. There is an infinite number of such polynomials.
Obviously the simplest one is the constant polynomial y=4.
It is easy to find other more interesting polynomials whose graphs pass through those three points.
Note that the polynomial
passes through the points (2,0), (3,0), and (4,0). That means the graph of
will pass through the points (2,4), (3,4), and (4,4).
A graph of that third degree polynomial....
And higher degree polynomials that pass through those 4 points can be found simply by adding additional linear factors to the first part of the polynomial. Here is a graph showing the graphs of the previous polynomial and also the fourth degree polynomial
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