SOLUTION: Suppose a polynomial function of degree 5 with rational coefficients has given numbers as zeros 2, 5, 5-4i,5.
The other zeros is_______.
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Question 458932: Suppose a polynomial function of degree 5 with rational coefficients has given numbers as zeros 2, 5, 5-4i,5.
The other zeros is_______.
Found 2 solutions by math-vortex, richwmiller:
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
important math fact that will help you here:
1. Non-real zeroes of polynomial functions always come in conjugate pairs. The conjugate pairs look very similar...just a sign change: a-bi and a+bi.
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Since one of the zeroes is 5-4i, you must also have it's conjugate, 5+4i.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
5+4i
(x-2)*(x-5)^2*(5+4i)*(5-4i)
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