document.write( "Question 773209: If y=ax2+bx+c, which number represents the sum of the factors and which one represent the product? \n" ); document.write( "

Algebra.Com's Answer #471424 by josgarithmetic(39617) $\"\"$ $\"About$

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Are you asking the wrong question by one word? Are you really wanting to know the sum of the ROOTS and the product of the roots? \r
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\n" ); document.write( "\n" ); document.write( "You cannot FACTOR the general form $\"ax%5E2%2Bbx%2Bc\"$ until you have VALUES for a, b, and c, which make the trinomial into a square trinomial. On the other hand, if \"factors\" is not what you really mean, you can complete the square on the general trinomial or go directly to solution to a quadratic equation and use the roots to find their sum and their product. \r
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\n" ); document.write( "\n" ); document.write( "Roots from general form would be:
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "So do what you need with the two roots.\r
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\n" ); document.write( "\n" ); document.write( "The sum will eliminate the radical in the process.\r
\n" ); document.write( "\n" ); document.write( "The product will have the benefit of difference of two squares. \n" ); document.write( "

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