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Algebra

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Find a polynomial function having the following zeros:
– 5, 3 (multiplicity 2), 2 + i, 2 – i; degree 5.

  • Algebra - ,

    let's first do the quadratic which would give us roots of 2 ± i
    (x - (2+i))(x - (2-i)) = .....
    = x^2 - 4x + 5

    so we have
    f(x) = (x+5)(x-3)(x-3)(x^2 - 4x + 5)

    which, if expanded will give us a 5th degree polynomial.

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