document.write( "Question 1173983: Write a polynomial function f of least degree that has rational coefficients, a leading coefficients of 1, and the zeros 2, -3, and -3i. \n" ); document.write( "

Algebra.Com's Answer #799331 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "For such a polynomial, the roots are  2, -3, -3i  and  3i, including all complex conjugates,\r\n" );
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document.write( "so the polynomial is  \r\n" );
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document.write( "     p(x) = (x-2)*(x-(-3))*(x-(-3i))*(x-3i) = (x-2)*(x+3)*(x^2 + 9).\r\n" );
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