SOLUTION: task: write a polynomial function with rational coefficients in standard form with the given zeros . x= -2,0,radical 3 I'm not sure where to begin .

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Question 303728: task: write a polynomial function with rational coefficients in standard form with the given zeros . x= -2,0,radical 3 I'm not sure where to begin .
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If a polynomial function has a zero , then the polynomial has a factor . Also, irrational zeros of polynomial functions with rational coefficients ALWAYS come in conjugate pairs. That means that if is a root, then is also a root.

So now you know your four zeroes: 2, 0, and , so you can write the four factors of the polynomial:



The last two give you the difference of two squares, so



A little FOIL:



And then distribute the remaining factor






John