document.write( "Question 72343This question is from textbook Elementary Algebra
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Algebra.Com's Answer #51699 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "2x² + 7x + 3\r\n" );
document.write( "2x² + 7x + 3\r\n" );
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document.write( "1.  Multiply the blue 2 by the red 3, getting 6.\r\n" );
document.write( "2.  Think of two positive integers which have product 6 and\r\n" );
document.write( "    which have SUM (since the purple sign is +) equal to the\r\n" );
document.write( "    green 7.  Such positive integers are 1 and 6 because \r\n" );
document.write( "    1×6 = 6 and 1+6 = 7\r\n" );
document.write( "3.  Rewrite the green 7 using 1 and 6 \r\n" );
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document.write( "2x² + (1 + 6)x + 3\r\n" );
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document.write( "4. Remove the parentheses using the distributive principle.\r\n" );
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document.write( "2x² + 1x + 6x + 3\r\n" );
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document.write( "5. Factor x out of the first two terms and factor 3 out of\r\n" );
document.write( "   the last two terms:\r\n" );
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document.write( "x(2x + 1) + 3(2x + 1)\r\n" );
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document.write( "6. Factor the (2x + 1) out of both terms\r\n" );
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document.write( "(2x + 1)(x + 3)\r\n" );
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document.write( "Another example:\r\n" );
document.write( "6x² + x — 2\r\n" );
document.write( "6x² + 1x — 2\r\n" );
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document.write( "1.  Multiply the blue 6 by the red 2, getting 12.\r\n" );
document.write( "2.  Think of two positive integers which have product 12 and\r\n" );
document.write( "    which have DIFFERENCE (since the purple sign is —) equal to the\r\n" );
document.write( "    green 1.  Such positive integers are 4 and 3 because \r\n" );
document.write( "    4×3 = 12 and 4—3 = 1\r\n" );
document.write( "3.  Rewrite the green 1 using 4 and 3 \r\n" );
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document.write( "6x² + (4 — 3)x — 2\r\n" );
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document.write( "4. Remove the parentheses using the distributive principle.\r\n" );
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document.write( "6x² + 4x — 3x — 2\r\n" );
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document.write( "5. Factor 2x out of the first two terms and factor -1 out of\r\n" );
document.write( "   the last two terms:\r\n" );
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document.write( "2x(3x + 2) — 1(3x + 2)\r\n" );
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document.write( "6. Factor the (3x + 2) out of both terms\r\n" );
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document.write( "(3x + 2)(2x — 1)\r\n" );
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document.write( "Edwin
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