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algebra

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Find a polynomial function of least degree with real coefficients satisfying the given properties.

zeros -3, 0, and 4

f(1) =10

  • algebra - ,

    if zeros are -3, 0, 4, it could be

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

    but (1,10) lies on it , so we have to stretch it to pass through that point without wrecking the zeros

    f(x) = ax(x+3)(x-4)

    10 = a(4)(-3)
    -12a = 10
    a = -5/6

    f(x) = -(5/6)x(x+3)(x-4)

  • algebra - ,

    Thank you.

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