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For the equation 2x 3 - 11x 2 + 12x + 9 = 0, the root 3 has a multiplicity of _____.

  • Math -

    since we know 3 is a roots, x-3 must be a factor, so

    2x^3 - 11x^2 + 12x + 9
    = (x-3)(2x^2 - 5x - 3)
    = (x-3)(x-3)(2x+1)

    so .....

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