document.write( "Question 674240: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros 1, 3-i.
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Algebra.Com's Answer #419104 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0
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document.write( "zeroes 1, 3-i (and 3+i)
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document.write( "f(x) = (x-1)(x-(3-i))(x-(3+i) = (x-1)(x^2 - 6x + 10) = x^3-7x^2 +16x - 10 \n" );
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