document.write( "Question 1198418: Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and zeros of 5 and 3+i.
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Algebra.Com's Answer #832006 by ikleyn(52855) $\"\"$ $\"About$

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document.write( "This polynomial function is\r\n" );
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document.write( "    f(x) = (x-5)*(x-(3+i))*(x-(3-i)) = (x-5)*((x-3)-i)*((x-3)+i) = (x-5)*((x-3)^2+1) = (x-5)*(x^2-6x+10).    ANSWER\r\n" );
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The lesson to learn

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