Algebra

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^2-4x+12

3.n=3;4 and i zeros;f(-3)=60
-I got:f(x)=6x^3+24x^2+6x+24

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  1. 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)(x-4)
    then for f(-3)=60
    60 = a(10)(-7)
    a= -6/7

    so f(x) = -6/7(x^2+1)(x-4)

    expand it for your answer

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