Unit
Polynomials
MA, Stanford University
Teaching in the San Francisco Bay Area
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If we have a polynomial equation with only one variable, the solutions to that equation are the x-values that make the equation true. The zeros are the x-values that make an equation in standard form equal to zero. If the zeros are real (meaning, non-imaginary,) then they will show up as x-intercepts on the graph of f(x). A factor of a polynomial that occurs "n" times is said to have multiplicity "n," and whether n is even or odd will have an impact on whether the graph of f(x) crosses (odd) or bounces (even multiplicity) at the x-intercept associated with that factor.
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