SOLUTION: Let f be a fourth-degree polynomial with the zeros -2,6,2i,and -2. ??
Write the polynomial in factored form.
Write the polynomial in standard form.
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Question 627126: Let f be a fourth-degree polynomial with the zeros -2,6,2i,and -2. ??
Write the polynomial in factored form.
Write the polynomial in standard form.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
This is only possible if your polynomial has complex coefficients. If that is not the case, then you have made a typo when you wrote out the roots. Complex zeros always come in conjugate pairs when you have a polynomial with real coefficients.
Regardless, if a given number 
is a zero of a polynomial, then 
is a factor of the polynomial. So if your four zeros are 
, 
, 
, and 
, then the factored form of the polynomial is:
(x\ -\ \alpha_2)(x\ -\ \alpha_3)(x\ -\ \alpha_4)\ =\ 0)
.
Multiply the four factors to get the standard form.
John
My calculator said it, I believe it, that settles it
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