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the zeros for the following polynomial function and give the multiplicity for ea

ID: 3138013 • Letter: T

Question

the zeros for the following polynomial function and give the multiplicity for each zero, State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each zero. f(x) = 9(x-5)(x-4)3 The zero(s) of f is/are 5,4 (Use a comma to separate answers as needed.) The multiplicity at the smallest zero is [2] (Type a whole number.) The multiplicity at the largest zero is (Type a whole number.) Determine whether the graph crosses the x-axis or touches the x-axis and turns around, at the leftmost zero. O A. crosses the x-axis ? B. touches the x-axis and turns around Determine whether the graph crosses the x-axis or touches the x-axis and turns around, at the rightmost zero.

Explanation / Answer

The function has two zero .. 5 and 4.

The multiplicity of the smallest zero that is of 4 is 3, as (x-4)^3 is a factor of the function

The multiplicity of the largest zero that is of 5 is 1,as (x-5) is a factor of the function.

The function crosses X axis.