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Study Fact sheet 9

# Study Fact sheet 9 - Squares are always positive This means...

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Jake Venditto 2/7/10 Groom Study Fact Sheet Polynomial Function 9.1, 9.2, 9.3 Sketching Polynomials: 1. Find Pall Possible zeroes 2. Use synthetic division to find equation 3. Consider the rules of multiplicity and end behavior Example: P(x) = 2x³ + 5x² + 4x + 1 Possible zeroes = the factors of the last coefficient/factors of the leading coefficient

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Multiplicity: The point of multiplicities with respect to graphing is that any factors that occur an even number of time (twice, four times, six times, etc) are squares, so they don't change sign.
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Unformatted text preview: Squares are always positive. This means that the x-intercept corresponding to an even-multiplicity zero can't cross the x-axis Ex (x - 4) (x - 4)² End Behavior: N is even, a > 0 N is odd, a >0 N is even, a < 0 N is odd, a < 0 Finding the polynomial from the graph: Factor Using Synthetic Division: Ex. Factor x³ + 7x² - x – 7, zero = -7...
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Study Fact sheet 9 - Squares are always positive This means...

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