document.write( "Question 784657: What is the Indian to factor a trinomial? I need an example. Someone at work mentioned to me and I am trying to figure it out \n" ); document.write( "

Algebra.Com's Answer #477218 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "We have a lesson  on that here on algebra.com:\r\n" );
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document.write( "http://www.algebra.com/algebra/homework/quadratic/THEO-2011-08-28-02.lesson\r\n" );
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document.write( "The object is to get the discriminant b²-4ac on the right side\r\n" );
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document.write( "ax² + bx + c = 0\r\n" );
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document.write( "Get the constant term off the left side\r\n" );
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document.write( "ax² + bx     = -c\r\n" );
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document.write( "First we make the right side -c into -4ac, the second term of\r\n" );
document.write( "the discriminant by multiplying through every term by 4a\r\n" );
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document.write( "4a²x² + 4abx     = -4ac\r\n" );
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document.write( "Now we add b² to both sides to finish getting the discriminant\r\n" );
document.write( "on the right side.\r\n" );
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document.write( "4a²x² + 4abx + b² = b²-4ac\r\n" );
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document.write( "The left side factors as a perfect square\r\n" );
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document.write( "     (2ax+b)² = b²-4ac\r\n" );
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document.write( "Then we use the principle of square roots:\r\n" );
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document.write( "        2ax+b = ±√b²-4ac\r\n" );
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document.write( "Then solve for x\r\n" );
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document.write( "          2ax = -b±√b²-4ac\r\n" );
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document.write( "Then finally:\r\n" );
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document.write( "            x = \r\n" );
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document.write( "Which is what you'd get if you used the quadratic formula.\r\n" );
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document.write( "Edwin

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