Zeros and Multiplicity
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State
A zero's multiplicity is its factor's exponent in the factored form; the graph crosses the x-axis at odd multiplicity and touches without crossing at even.
Show
f(x) = (x − 1)²(x + 2): at 1 the square makes it touch and turn; at −2 the single factor makes it cross.
Builds on
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Unlocks
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