document.write( "Question 879077: How do you factor the following expression using the FOIL Method?\r
\n" ); document.write( "\n" ); document.write( "13x^2-17x-6\r
\n" ); document.write( "\n" ); document.write( "-I have already layed out many possible solutions with finding 13x^2 and 6 but cannot for the life of me find 17x
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Algebra.Com's Answer #530481 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
That has so few possibilities to check.
\n" ); document.write( "13 can only form with factors 1 and 13.
\n" ); document.write( "-6 can only form with factors -1 & 6; 1 & -6; -2 & 3; or 2 & -3. Which combinations work?\r
\n" ); document.write( "\n" ); document.write( "Focus on which of these will give \"-17x\":\r
\n" ); document.write( "\n" ); document.write( "(13x-1)(x+6)?\r
\n" ); document.write( "\n" ); document.write( "(13x-6)(x+1)?\r
\n" ); document.write( "\n" ); document.write( "(13x+1)(x-6)?\r
\n" ); document.write( "\n" ); document.write( "(13x+6)(x-1)?\r
\n" ); document.write( "\n" ); document.write( "(13x-2)(x+3)?\r
\n" ); document.write( "\n" ); document.write( "(13x+2)(x-3)?\r
\n" ); document.write( "\n" ); document.write( "(13x-3)(x+2)?\r
\n" ); document.write( "\n" ); document.write( "(13x+3)(x-2)?\r
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\n" ); document.write( "\n" ); document.write( "Are you sure that 13x^2-17x-6 is a perfect square?\r
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\n" ); document.write( "\n" ); document.write( "SLIGHTLY MORE ADVANCED---------\r
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\n" ); document.write( "\n" ); document.write( "Discriminant, \"%28-17%29%5E2-4%2A13%2A%28-6%29\"
\n" ); document.write( "\"289%2B52%2A6\"
\n" ); document.write( "\"289%2B312\"
\n" ); document.write( "Discriminant is 601.
\n" ); document.write( "---
\n" ); document.write( "\"sqrt%28601%29=stillIrrational\"
\n" ); document.write( "You in fact do NOT have a perfect square trinomial, so your trinomial
\n" ); document.write( "is not factorable.
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