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When a real zero x = a of a polynomial function fis of even multiplicity, the graph of f ---Select-- the x-axis at x = a, and when it is of odd multiplicity, the
graph of f ---Select-- the x-axis at x = a.

Sagot :

Answer:

touches

crosses

Step-by-step explanation:

[tex]x=a[/tex] is said to be a zero of a function [tex]f(x)[/tex] if [tex]f(a)=0[/tex]

A zero say [tex]x=a[/tex] has a "multiplicity" equal to [tex]n[/tex], if the factor [tex](x-a)^n[/tex] appears in the polynomial.

When a real zero [tex]x=a[/tex] of a polynomial function [tex]f[/tex] is of even multiplicity, the graph of [tex]f[/tex] touches the x-axis at [tex]x=a[/tex], and when it is of odd multiplicity, the

graph of [tex]f[/tex] crosses the x-axis at [tex]x=a[/tex].

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