SOLUTION: I have to write the simplest polynomial function with the given zeros. 1. (1,4,-3) 2. (.5,5,-2) 3. (2i,square root of 3,4) 4. (square root of 2,-5,-3i)
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Question 532226: I have to write the simplest polynomial function with the given zeros. 1. (1,4,-3) 2. (.5,5,-2) 3. (2i,square root of 3,4) 4. (square root of 2,-5,-3i)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
1. \ =\ (x\ -\ 1)(x\ -\ 4)(x\ +\ 3))
All you have to do is multiply the binomials and collect like terms.
Do the others the same way, except remember that both complex and irrational zeros come in conjugate pairs, that is:
if
is a zero
then
must also be a zero
and if, where 
is an algebraic irrational,
is a zero
then
must also be a zero
Note:
and
John
My calculator said it, I believe it, that settles it
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