Posted by Vee on Friday, February 1, 2013 at 7:44am.
Find a polynomial function of least degree with real coefficients satisfying the given properties.
zeros 3, 0, and 4
f(1) =10

algebra  Reiny, Friday, February 1, 2013 at 8:21am
if zeros are 3, 0, 4, it could be
f(x) = x(x+3)(x4)
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)(x4)
10 = a(4)(3)
12a = 10
a = 5/6
f(x) = (5/6)x(x+3)(x4)

algebra  Vee, Friday, February 1, 2013 at 9:55am
Thank you.
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