document.write( "Question 291734: $\"18z%2B45%2Bz%5E2\"$ . Please help me factor \n" ); document.write( "

Algebra.Com's Answer #210900 by Edwin McCravy(20062) $\"\"$ $\"About$

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$\"18z%2B45%2Bz%5E2\"$ . Please help me factor
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document.write( "Rearrange terms in descending order:\r\n" );
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document.write( "Write down all pairs of positive integers which have product 45:\r\n" );
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document.write( "1*45=45\r\n" );
document.write( "3*15=45\r\n" );
document.write( " 5*9=45\r\n" );
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document.write( "Since the last sign is , out beside those pairs,\r\n" );
document.write( "write their sum\r\n" );
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document.write( "1*45=45   1+45=46\r\n" );
document.write( "3*15=45   3+15=18\r\n" );
document.write( " 5*9=45    5+9=15\r\n" );
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document.write( "Look for the red  among them. \r\n" );
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document.write( "We find it at the pair of factors 3 and 15,\r\n" );
document.write( "so we write\r\n" );
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document.write( "(x   3)(x   15)\r\n" );
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document.write( "Since the last term of  is\r\n" );
document.write( "positive, the signs are like and are the\r\n" );
document.write( "same as the sign of the middle term \r\n" );
document.write( "So the factorization is\r\n" );
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document.write( "(x + 3)(x + 15)\r\n" );
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document.write( "Edwin

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