SOLUTION: Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
Degree 5; zeros: 9, i, 5 i
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Question 1162417: Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
Degree 5; zeros: 9, i, 5 i
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Simplify that.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
If the coefficients are real, nonreal roots occur in conjugate pairs.
Since i is a root, -i is a root.
Since 5i is a root, -5i is a root.
That makes the required 5 roots: 9, i, -i, 5i, and -5i.
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