120223 Polynomial function summary

A strategy for finding a polynomials zeros and

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A strategy for finding a polynomial’s zeros and factorization Use the Rational Zeros Theorem, generate a list of the possible rational zeros. Test whether any of the possible rational zeros actually are zeros. (The graph is the easiest way to see which numbers are definitely not zeros. For those numbers that do appear to be zeros based on the graph, confirm with a calculation.)
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Name Honors Algebra 2 February 23, 2012 “Polynomial functions: a summary” page 2 For each rational zero, write the corresponding factor. If the factors you have, when multiplied together, equal the polynomial, you are done. If not, use division to find the other factor. Now you need to find the zeros of the other factor. If it’s quadratic, use the Quadratic Formula. It it’s cubic or higher, use the calculator to approximate its zeros.
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Name Honors Algebra 2 February 23, 2012 “Polynomial functions: a summary” page 3 Graph features if n is even if n is odd end behavior a > 0: up on both sides a < 0: down on both sides a > 0: down on left, up on right a < 0: up on left, down on right number of “turning points”
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