Homework Help: college algebra

Posted by ladybug on Sunday, November 18, 2012 at 10:58pm.

form a polynomial f (x) with real coefficients having the given degree and zeros.

degree 5; zeros 5; -i; -6+-i

f(x)= a(?)

Please show step by step work.

college algebra - Steve, Monday, November 19, 2012 at 4:49am
since complex roots come in pairs, the factors are

(x-5)(x-i)(x+i)(x-(-6+i))(x-(-6-i))
(x-5)(x-i)(x+i)((x-6)-i)((x-6)+i)
(x-5)(x^2+1)(x^2+12x+37)

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