How to Get Zeros of a Polynomial Function

Rational Zeros of Polynomials. Given a graph of a polynomial function of degree identify the zeros and their multiplicities.

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Zeros of a Polynomial Function.

. The sum of the. If the graph touches the x-axis and bounces off of the axis it is a zero with even multiplicity. In this section we will study more methods that help us find the real zeros of a polynomial and thereby factor the polynomial.

If the graph crosses the x-axis at a zero it is a zero with odd multiplicity. An important consequence of the Factor Theorem is that finding the zeros of a polynomial is really the same thing as factoring it into linear factors. The next theorem gives a method to determine.

If the graph crosses the x-axis and appears almost linear at the intercept it is a single zero.

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