Homework Help: algebra

Posted by Heather on Tuesday, November 20, 2012 at 10:57pm.

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

Degree 4; zeros:-3 +5i; 2 multiplicity 2

enter the polynomial f(x)=a(?)

algebra - Steve, Tuesday, November 20, 2012 at 11:11pm
since complex roots come in pairs, you have
(x-(-3+5i))(x-(-3-5i))(x-2)^2
((x+3)+5i)((x+3)-5i)(x-2)^2
(x^2 + 6x + 34)(x^2 - 4x + 4)
x^4 + 2x^3 + 14x^2 - 112x + 136

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