SOLUTION: Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 5; Zero: 4, i, -6i

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Question 1014676: Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
Degree 5; Zero: 4, i, -6i
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The complex zeros with imaginary parts occur in conjugate pairs, so the function's factors as
a product are %28x-4%29%28x-i%29%28x-%28-i%29%29%28x-6i%29%28x-%28-6i%29%29.
You can simplify this into the form you need.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
Degree 5; Zero: 4, i, -6i
Remaining zeroes: highlight_green%28matrix%281%2C3%2C-+i%2C+and%2C+6i%29%29