document.write( "Question 1055571: Find the nth-degree polynomial function with real coefficients satisfying the given conditions: n=4; -3; 1/4, 2i are zero f(-2)=-144
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Algebra.Com's Answer #670945 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "n=4; -3; 1/4, 2i are $\"highlight%28cross%28zero%29%29\"$ zeroes and f(-2)=-144.
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document.write( "A polynomial of the degree 4 with real coefficients and the roots -3, , 2i is\r\n" );
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document.write( "f(x) =  = .     (1)\r\n" );
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document.write( "where \"a\" is the real number, a leading coefficient.\r\n" );
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document.write( "To find the value of \"a\", use the condition f(-2) = -144.\r\n" );
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document.write( "Substitute x= -2 into the polynomial (1). You will get\r\n" );
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document.write( "f(-2) =  =  = -288a.\r\n" );
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document.write( "Thus  -288a = -144.  Hence,  a =  = 0.5.\r\n" );
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document.write( "Finally, the polynomial is\r\n" );
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document.write( "f(x) = .\r\n" );
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