



 
Hello Susan, If some number 'a' is a zero of a polynomial function, then that means that (x  a) is a factor of that polynomial, and vice versa. For instance, x = 1 is a zero for the polynomial P(x) = x^{2}  1, and P(x) = x^{2}  1 = (x  1)(x + 1). Also, since (x + 1) is a factor of P(x) then that implies that x = 1 is a zero of P(x). Multiplicity is a count of how many times a root can be factored out of the polynomial. In the above example, both (x  1) and (x + 1) have multiplicity 1. Suppose we had a polynomial that factored as Q(x) = x^{2}(x4). The two zeros of this polynomial are x = 0 and x = 4, which have Tyler  


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