SOLUTION: Q:Find a polynomial function of the lowest degree with rational coefficients that has the given numbers as some of its zero
radical 3,5i
there is a radical sign over the 3, a
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Question 843637: Q:Find a polynomial function of the lowest degree with rational coefficients that has the given numbers as some of its zero
radical 3,5i
there is a radical sign over the 3, and that is 5i not 51
Thank you
Found 2 solutions by Fombitz, richwmiller:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Complex root always come on conjugate pairs.
To have rational coefficients, you need another root with to cancel out the outer and inner terms in the FOIL method.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
complex solutions are always in pairs
The solutions are +-sqt(3), +-5i
(x-5i)*(x+5i)*(x-sqrt(3))
0 = (sqrt(3)-x) (x^2+25)
0 = x^3-sqrt(3)x^2+25 x-25sqrt(3)
This only has sqrt(3) and not -sqrt(3) as a zero.
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