document.write( "Question 960761: F(x),a 3rd-degree polynomial,G(x) and a 4th-degree polynomial, are both expressions in terms of x.
\n" ); document.write( "Does the function H(x)=F(x)[F(x)+G(x)] also need to be a polynomial function in terms of x? If so, what degree is the function H(x)?\r
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\n" ); document.write( "\n" ); document.write( " A. Yes, it is 21st-degree polynomial in terms of x.
\n" ); document.write( " B. Yes, it is a 12th-degree polynomial in terms of x.
\n" ); document.write( " C. Yes, it is a 7th-degree polynomial in terms of x.
\n" ); document.write( " D. No, it does not need to be a polynomial in terms of x.
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Algebra.Com's Answer #587187 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We use these facts about polynomial sums and products:\r\n" );
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document.write( "#1. The sum of two polynomials is a polynomial with the same degree as the larger of the degrees.\r\n" );
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document.write( "#2. The product of two polynomials is a polynomial with the degree which is the sum of the two degrees of the polynomials.\r\n" );
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document.write( "H(x)=F(x)[F(x)+G(x)]\r\n" );
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\n" ); document.write( "F(x),a 3rd-degree polynomial,G(x) and a 4th-degree polynomial.
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document.write( "So what we have is:\r\n" );
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document.write( "H(x)=(3rd degree polynomial)[(3rd degree polynomial)+(4th degree polynomial)]\r\n" );
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document.write( "By #1, what's in the bracket is a 4th degree polynomial\r\n" );
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document.write( "H(x)=(3rd degree polynomial)[4th degree polynomial]\r\n" );
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document.write( "By #2, H(x) is a 7th degree polynomial.\r\n" );
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document.write( "Correct answer: C\r\n" );
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document.write( "[It has been proved that in multiple-choice tests, C is the most often\r\n" );
document.write( "correct answer.  So if you ever must guess on such a test, guess C].\r\n" );
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document.write( "Edwin
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