document.write( "Question 83588: Use the ac test to determine which of the following trinomials can be factored. Find the values of m and n for each trinomial that can be factored.\r
\n" ); document.write( "\n" ); document.write( "x^2+2x-15 \n" ); document.write( "
Algebra.Com's Answer #60118 by jim_thompson5910(35256)\"\" \"About 
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In order to factor \"1%2Ax%5E2%2B2%2Ax%2B-15\", first we need to ask ourselves: What two numbers multiply to -15 and add to 2? Lets find out by listing all of the possible factors of -15\r
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\n" ); document.write( "\n" ); document.write( "Factors:\r
\n" ); document.write( "\n" ); document.write( "1,3,5,15,\r
\n" ); document.write( "\n" ); document.write( "-1,-3,-5,-15,List the negative factors as well. This will allow us to find all possible combinations\r
\n" ); document.write( "\n" ); document.write( "These factors pair up to multiply to -15.\r
\n" ); document.write( "\n" ); document.write( "(-1)*(15)=-15\r
\n" ); document.write( "\n" ); document.write( "(-3)*(5)=-15\r
\n" ); document.write( "\n" ); document.write( " Now which of these pairs add to 2? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to 2\r
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First Number|Second Number|Sum
1|-15|1+(-15)=-14
3|-5|3+(-5)=-2
-1|15|(-1)+15=14
-3|5|(-3)+5=2
We can see from the table that -3 and 5 add to 2.So the two numbers that multiply to -15 and add to 2 are: -3 and 5\r
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\n" ); document.write( "\n" ); document.write( "So m=-3, and n=5 \n" ); document.write( "
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