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)

Algebra ->  Polynomials-and-rational-expressions -> 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)       Log On


   

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


1.

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

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