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20 January, 17:50

What are the zeros of the function? what are their multiplicities?

f (x) = x^4-4x^3+3x^2

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  1. 20 January, 18:05
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    Since each term contains x, x = 0 is one answer Also as x^2 is a factor it has duplicity 2.

    Factoring:-

    x^2 (x^2 - 4x + 3) = 0

    x^2 (x - 3) (x - 1) = 0

    so x = 3 and x = 1 are also zeros

    Answer: - x = 0 (duplicity 2), x = 1 and x = 3.
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