SOLUTION: Find a polynomial function of least degree having only one real coefficients, a leading coefficient of 1, and roots 1-square root 3 , 1+square root 3, and 6-i .
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-> SOLUTION: Find a polynomial function of least degree having only one real coefficients, a leading coefficient of 1, and roots 1-square root 3 , 1+square root 3, and 6-i .
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Question 1023290: Find a polynomial function of least degree having only one real coefficients, a leading coefficient of 1, and roots 1-square root 3 , 1+square root 3, and 6-i . Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! The roots we know of are the real roots , and ,
and the complex root .
For the polynomial to have only real coefficients,
it must also have the conjugate complex root .
So, the polynomial of least degree, with a leading coefficient of is .
From here on, it is just busywork.
That is the part where I get bored and distracted, and make mistakes, so check my math from this point on.
