SOLUTION: Form a polynomial f left parenthesis x right parenthesis f(x) with real coefficients having the given degree and zeros. Degree​ 5; zeros:2;-i;-6+i

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Question 1039276: Form a polynomial f left parenthesis x right parenthesis f(x) with real coefficients having the given degree and zeros.
Degree​ 5; zeros:2;-i;-6+i
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If is a zero of a polynomial, then is a factor of the polynomial. Also, if is a complex zero of a polynomial, then the conjugate, is also a zero of the polynomial.

So your five factors are:



Just multiply the factors and collect like terms. Hint: The product of two complex conjugates is the SUM of two squares. You will have an easier time of it if you multiply the two sets of conjugates first.

John

My calculator said it, I believe it, that settles it