Having trouble with algebra ll

Sherri

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May 11, 2015
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Someone please help. I truly do not understand this...

Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 4; zeros: 2, multiplicity 2; 3i
 
Let's start by defining the terms involved in the problem. Surely you know at least some of them? And by posting the definitions of the terms, you might just find you know how to solve this problem after all. The problem asks you to make a polynomial with degree 4. What does degree mean in this context? And what can you tell about the polynomial given that? The problem also asks for the polynomial to have zeroes at 2 and 3i. What does it mean if the polynomial evaluates to zero at x = 2? And similarly, what does the zero at x = 3i mean? And finally, what does multiplicity mean in this context? Note that the multiplicity is not of the polynomial as a whole, but specifically of the zero at x = 2. Does that distinction matter? If so, why?
 
Someone please help. I truly do not understand this...

Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 4; zeros: 2, multiplicity 2; 3i
So you are giving three roots: 2, 2 and 3i. 2 comes up twice since 2 has multiplicity of 2. Since 3i = 0+3i you should know the last root based on my last post.
 
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