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calculus

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use the given zeros to find the remaining zeros of the function

h(x)=x^4-9x^3+12x^2+138x-1360
zero:3-5i

enter the remaining zeros of f

please show work

  • calculus -

    (3 - 5i) and (3+5i)

    therefore divide by product(x-3+5i) and (x-3-5i)
    or
    (x^2 - 6 x + 34)
    so do long division

    x^4-9x^3+12x^2+138x-1360
    -------------------------
    x^2 - 6 x + 34

    which is (x^2-3x-40) whew, no remainder

    find the two zeros of that

    x = [ 3 +/- sqrt (9+160)]/2
    = [3+/-13]/2
    = -5 and 8

    so in the end
    -5
    +8
    -3-5i
    -3+5i

  • calculus -

    That was fun :)

  • typo -

    -5
    +8
    3-5i
    3+5i

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