SOLUTION: Find a polynomial function with real coefficients and least degree having zeros 2-i, 3 and -1.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial function with real coefficients and least degree having zeros 2-i, 3 and -1.      Log On


   

Question 1147927: Find a polynomial function with real coefficients and least degree having zeros 2-i, 3 and -1.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2+%2B+I+ is also a root


+f%28x%29+=+%28+x%5E2+-+4x+%2B+5+%29%2A%28+x%5E2+-+2x+-+3+%29+
+f%28x%29+=+x%5E4+-+4x%5E3+%2B+5x%5E2+-+2x%5E3+%2B+8x%5E2+-+10x+-+3x%5E2+%2B+12x+-+15+
+f%28x%29+=+x%5E4+-+6x%5E3+%2B+10x%5E2+%2B+2x+-+15+
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get a 2nd opinion if needed