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Unformatted text preview: direction from increasing to decreasing or
decreasing to increasing are often called turning points. If we know that the polynomial has
degree n then we will know that there will be at most n - 1 turning points in the graph.
While this won’t help much with the actual graphing process it will be a nice check. If we have a
fourth degree polynomial with 5 turning point then we will know that we’ve done something
wrong since a fourth degree polynomial will have no more than 3 turning points.
Next, we need to explore the relationship between the x-intercepts of a graph of a polynomial and
the zeroes of the polynomial. Recall that to find the x-intercepts of a function we need to solve
the equation P ( x) = 0 Also, recall that x = r is a zero of the polynomial, P ( x ) , provided P ( r ) = 0 . But this means
that x = r is also a solution to P ( x ) = 0 . © 2007 Paul Dawkins 255 http://tutorial.math.lamar.edu/terms.aspx College Algebra In other words, the zeroes of a polynomial are also the x-interc...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12