document.write( "Question 1124416: Which answer best describes the complex zeros of the polynomial function?\r
\n" ); document.write( "\n" ); document.write( "f(x)=x^3+x^2+10x+10\r
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\n" ); document.write( "\n" ); document.write( "The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.\r
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\n" ); document.write( "\n" ); document.write( "The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two locations.\r
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\n" ); document.write( "\n" ); document.write( "The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.\r
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\n" ); document.write( "\n" ); document.write( "The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one location. \n" ); document.write( "

Algebra.Com's Answer #740726 by ikleyn(52798) $\"\"$ $\"About$

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document.write( "x^3 + x^2 + 10x + 10 = (factorize; start grouping) = \r\n" );
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document.write( "= (x^3 + x^2) + (10x + 10) = x^2*(x+1) + 10*(x+1) = (x^2 + 10)*(x+1).\r\n" );
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document.write( "The polynomial has one real root x= -1.\r\n" );
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document.write( "The answer is the choice line #3.\r\n" );
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