Polynomial equations may have fewer distinct roots than the order of the polynomial. In these situations, a root may have “multiplicity.” For instance, the polynomial equation 𝑦 = 𝑥³ − 6𝑥² + 9𝑥 has two identical factors, (𝑥 − 3), and one other factor, 𝑥. This polynomial equation has two distinct, real roots, one with a multiplicity of 2.
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