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What are the zeros of the function? What are their multiplicities? athe numbers –1, 4, and 0 are zeros of multiplicity 1  bthe numbers 1, –4, and 0 are zeros of multiplicity 2  cthe numbers 1, –4, and 0 are zeros of multiplicity 1  dthe numbers –1, 4, and 0 are zeros of multiplicity 2

Question

What are the zeros of the function? What are their multiplicities? athe numbers –1, 4, and 0 are zeros of multiplicity 1  bthe numbers 1, –4, and 0 are zeros of multiplicity 2  cthe numbers 1, –4, and 0 are zeros of multiplicity 1  dthe numbers –1, 4, and 0 are zeros of multiplicity 2

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Solution

The question seems to be incomplete. It asks for the zeros and their multiplicities of a function, but the function itself is not provided. However, I can explain what zeros and their multiplicities mean in a function.

The zeros of a function are the x-values for which the function equals zero. In other words, they are the solutions to the equation f(x) = 0.

The multiplicity of a zero refers to the number of times the factor corresponding to that zero appears in the function. For example, if (x - 1) is a factor of a function and it appears twice, then x = 1 is a zero of multiplicity 2.

From the options you provided:

a) The numbers –1, 4, and 0 are zeros of multiplicity 1: This means that the function equals zero at x = -1, x = 4, and x = 0, and each of these zeros corresponds to a factor that appears once in the function.

b) The numbers 1, –4, and 0 are zeros of multiplicity 2: This means that the function equals zero at x = 1, x = -4, and x = 0, and each of these zeros corresponds to a factor that appears twice in the function.

c) The numbers 1, –4, and 0 are zeros of multiplicity 1: This means that the function equals zero at x = 1, x = -4, and x = 0, and each of these zeros corresponds to a factor that appears once in the function.

d) The numbers –1, 4, and 0 are zeros of multiplicity 2: This means that the function equals zero at x = -1, x = 4, and x = 0, and each of these zeros corresponds to a factor that appears twice in the function.

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