document.write( "Question 179494: i seem to be having trouble with this problem. ive done everything i could\r
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Algebra.Com's Answer #134436 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Do you want to factor? Please post full instructions.\r
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\n" ); document.write( "\n" ); document.write( "Looking at the expression $\"2h%5E2-3h-18\"$ , we can see that the first coefficient is $\"2\"$ , the second coefficient is $\"-3\"$ , and the last term is $\"-18\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Now multiply the first coefficient $\"2\"$ by the last term $\"-18\"$ to get $\"%282%29%28-18%29=-36\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Now the question is: what two whole numbers multiply to $\"-36\"$ (the previous product) and add to the second coefficient $\"-3\"$ ?\r
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\n" ); document.write( "\n" ); document.write( "To find these two numbers, we need to list all of the factors of $\"-36\"$ (the previous product).\r
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\n" ); document.write( "\n" ); document.write( "Factors of $\"-36\"$ :\r
\n" ); document.write( "\n" ); document.write( "1,2,3,4,6,9,12,18,36\r
\n" ); document.write( "\n" ); document.write( "-1,-2,-3,-4,-6,-9,-12,-18,-36\r
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\n" ); document.write( "\n" ); document.write( "Note: list the negative of each factor. This will allow us to find all possible combinations.\r
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\n" ); document.write( "\n" ); document.write( "These factors pair up and multiply to $\"-36\"$ .\r
\n" ); document.write( "\n" ); document.write( "1*(-36)
\n" ); document.write( "2*(-18)
\n" ); document.write( "3*(-12)
\n" ); document.write( "4*(-9)
\n" ); document.write( "6*(-6)
\n" ); document.write( "(-1)*(36)
\n" ); document.write( "(-2)*(18)
\n" ); document.write( "(-3)*(12)
\n" ); document.write( "(-4)*(9)
\n" ); document.write( "(-6)*(6)\r
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\n" ); document.write( "\n" ); document.write( "Now let's add up each pair of factors to see if one pair adds to the middle coefficient $\"-3\"$ :\r
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First Number	Second Number	Sum
1	-36	1+(-36)=-35
2	-18	2+(-18)=-16
3	-12	3+(-12)=-9
4	-9	4+(-9)=-5
6	-6	6+(-6)=0
-1	36	-1+36=35
-2	18	-2+18=16
-3	12	-3+12=9
-4	9	-4+9=5
-6	6	-6+6=0

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\n" ); document.write( "\n" ); document.write( "From the table, we can see that there are no pairs of numbers which add to $\"-3\"$ . So $\"2h%5E2-3h-18\"$ cannot be factored.\r
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\n" ); document.write( "\n" ); document.write( "So I would make sure that you entered the correct problem. \n" ); document.write( "

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