document.write( "Question 1175934: Tell whether each statement is sometimes, always, or never true. Explain.\r
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Algebra.Com's Answer #801704 by ikleyn(52782) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "This statement is ALWAYS true.\r
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document.write( "    There are INFINITELY MANY polynomials of the form\r\n" );
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document.write( "        p(x) = r*(x-a)*(x-b)*(x-c)\r\n" );
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document.write( "    with the given zeros \"a\", \"b\" and \"c\", where  the coefficient \"r\" is any real number not equal to zero.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is one example of the infinite family of polynomials with the assigned property.\r
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document.write( "    Also, there are INFINITELY MANY polynomials of the form\r\n" );
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document.write( "        p(x) = \r\n" );
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document.write( "    with the leading coefficient of 1 with the given zeros \"a\", \"b\" and \"c\", \r\n" );
document.write( "    where  the degree indexes n, m, k are arbitrary positive integer numbers.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is another example.\r
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\n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r
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