SOLUTION: Write the simplest polynomial function with zeros 7+i and square root 5.

Question 193367This question is from textbook saxon algebra 2
: Write the simplest polynomial function with zeros 7+i and square root 5. This question is from textbook saxon algebra 2

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The answer to that question really depends on what you think (or more to the point what your instructor thinks) is simpler, a 3rd degree polynomial function with irrational coefficients or a 4th degree polynomial function with integer coefficients.

Perform the indicated multiplications

to obtain the 3rd degree polynomial. You should end up with irrational coefficients on the constant, 1st, and 2nd degree terms.

Perform the indicated multiplications

to obtain the 4th degree polynomial with integer coefficients.

Update:

It just occurred to me that you could multiply:

to obtain a 2nd degree polynomial with complex coefficients.

John

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