SOLUTION: Write a polynomial function F of the least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
1) {{{1- sqrt(5)}}}
2) {{{ sqrt (2)}}} , 3
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Question 825428: Write a polynomial function F of the least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
1)
2) , 3i
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Initial impression here is that the irrational root would be treated similarly to the imaginary root. The help I give here is for question #1.
Hoping to use that,
There it is!
, and the TWO roots are and .
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