Posted by Soly on Friday, October 12, 2007 at 10:45pm.
Could you please check my answers?
Find an nth degree polynomial function with real coefficients satisfying the given conditions.
1. n=3; 3 and i are zeros; f(2)=20
I got: f(x)=4^3+12x^24x+12
3.n=3;4 and i zeros;f(3)=60
I got:f(x)=6x^3+24x^2+6x+24

Algebra  Reiny, Friday, October 12, 2007 at 11:05pm
the first one is correct, the 2nd is not
try f(4) in your equation, you do not get zero.
I had f(x) = a(x^2+1)(x4)
then for f(3)=60
60 = a(10)(7)
a= 6/7
so f(x) = 6/7(x^2+1)(x4)
expand it for your answer
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