SOLUTION: Zeros of Functions
Find an nth degree polynomial function with real coefficients such that:
n=3
1 and i are zeros
f(-1)=8
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Find an nth degree polynomial function with real coefficients such that:
n=3
1 and i are zeros
f(-1)=8
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Question 1136890: Zeros of Functions
Find an nth degree polynomial function with real coefficients such that:
n=3
1 and i are zeros
f(-1)=8 Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Find an nth degree polynomial function with real coefficients such that:
n=3
1 and i are zeros
f(-1)=8
----------
Zeroes are 1, i & -i
--> (x-1)*(x^2 + 1) = x^3 - x^2 + x - 1
---------
f(-1) = -1 - 1 - 1 - 1 = -4
Multiply by -2
--> f(x) -2x^3 + 2x^2 - 2x + 2
============
f(-1) = 2 + 2 + 2 + 2 = 8
