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
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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