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if you know that 7 + 2i is a root of a polynomial function ,what is another root of that same function?

2 Answers

3 votes

Answer: Another root of the same function is 7-2i.

Step-by-step explanation: Given that 7+2i is a root of a polynomial function.

We are to find the another root of the same function.

We know that

if a complex number a+ib is one of the roots of a polynomial function f(x), then the conjugate a-ib is another root of the same polynomial f(x).

According to the given information, the conjugate of 7+21, that is, 7-2i is another root of the same polynomial function.

Thus, another root of the same function is 7-2i.

User Rajahsekar
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3 votes
the other root would be 7-2i
User AjayKumarGhose
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6.2k points