SOLUTION: it says write a polynomial function of least degree that has real coefficient, the given zeros, and leading coefficients of 1. with these three numbers... -1, -2, -3 and th

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: it says write a polynomial function of least degree that has real coefficient, the given zeros, and leading coefficients of 1. with these three numbers... -1, -2, -3 and th      Log On


   



Question 576103: it says write a polynomial function of least degree that has real coefficient, the given zeros, and leading coefficients of 1.
with these three numbers... -1, -2, -3

and these... 3, -3, 2i
then after you write a polynomial function multiply it out, do not leave in factored form.

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


If is a zero of a polynomial equation, then is a factor of the polynomial. Complex zeros always come in conjugate pairs, that is if is a zero, then is also a zero.

For your second problem, is a zero, so is also a zero. Hence your four factors are:



You can multiply out the factors for yourself. Hint: The product of two conjugates is the difference of two squares. Hint #2: Don't forget -- that will make the product of the two complex factors the SUM of two squares and eliminate the s.

John

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