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Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given condition...Question
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
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
Answers
Reiny
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
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