College Algebra / Alg 356 · Atom · ~20 seconds
Zeros and Multiplicity
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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.
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f(x) = (x − 1)²(x + 2): at 1 the square makes it touch and turn; at −2 the single factor makes it cross.
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