document.write( "Question 909252: Hello, I am having trouble with Factoring using algebra tile can you please help me.
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Algebra.Com's Answer #551729 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "1. x^2-7x+12\r\n" );
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document.write( "Look at it from right to left:\r\n" );
document.write( "First look at the 12, then the +, then the 7 then the -.\r\n" );
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document.write( "A. Look at the 12.  Start with this partial sentence:\r\n" );
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document.write( "\"Think of two positive integers which have product 12, such that when...\r\n" );
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document.write( "B. Look at the sign + before the 12, which tells us that the next word is\r\n" );
document.write( "\"added\".  So now our partial sentence is:\r\n" );
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document.write( "\"Think of two positive integers which have product 12, such that when\r\n" );
document.write( "added...\r\n" );
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document.write( "C. Look at the 7, which completes our sentence:\r\n" );
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document.write( "\"Think of two positive integers which have product 12, such that when\r\n" );
document.write( "added gives 7\".\r\n" );
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document.write( "D. It's easy to do that and come up with 4 and 3, because 4×3=12 and 4+3=7\r\n" );
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document.write( "Now write this:\r\n" );
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document.write( "(x 4)(x 3)\r\n" );
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document.write( "E. Now look at the sign before the 7.  It is a -. So put a - before the\r\n" );
document.write( "larger one, which is 4, so we have:\r\n" );
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document.write( "(x+4)(x 3)\r\n" );
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document.write( "F. Since the sign of 12 is +, we use the same sign for 3, so the answer is\r\n" );
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document.write( "(x+4)(x+3).\r\n" );
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document.write( "-----------------------\r\n" );
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document.write( "2. x^2+2x-8\r\n" );
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document.write( "Look at it from right to left:\r\n" );
document.write( "First look at the 8, then the -, then the 2 then the +.\r\n" );
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document.write( "A. Look at the 8.  Start with this partial sentence:\r\n" );
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document.write( "\"Think of two positive integers which have product 8, such that when...\r\n" );
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document.write( "B. Look at the sign - before the 8, which tells us that the next word is\r\n" );
document.write( "\"subtracted\".  So now our partial sentence is:\r\n" );
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document.write( "\"Think of two positive integers which have product 8, such that when\r\n" );
document.write( "subtracted...\r\n" );
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document.write( "C. Look at the 2, which completes our sentence:\r\n" );
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document.write( "\"Think of two positive integers which have product 8, such that when\r\n" );
document.write( "subtracted gives 2\".\r\n" );
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document.write( "D. It's easy to do that and come up with 4 and 2, because 4×2=8 and 4-2=2\r\n" );
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document.write( "Now write this:\r\n" );
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document.write( "(x 4)(x 2)\r\n" );
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document.write( "E. Now look at the sign before the 2.  It is a +. So put a + before the\r\n" );
document.write( "larger one, which is 4, so we have:\r\n" );
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document.write( "(x+4)(x 2)\r\n" );
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document.write( "F. Since the sign of 12 is -, we use the opposite sign for 2, so the answer is\r\n" );
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document.write( "(x+4)(x-2).\r\n" );
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document.write( "-----------------------\r\n" );
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document.write( "3. x^2-6x+8\r\n" );
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document.write( "Look at it from right to left:\r\n" );
document.write( "First look at the 8, then the +, then the 6 then the -.\r\n" );
document.write( "\r\n" );
document.write( "A. Look at the 8.  Start with this partial sentence:\r\n" );
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document.write( "\"Think of two positive integers which have product 8, such that when...\r\n" );
document.write( "\r\n" );
document.write( "B. Look at the sign + before the 8, which tells us that the next word is\r\n" );
document.write( "\"added\".  So now our partial sentence is:\r\n" );
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document.write( "\"Think of two positive integers which have product 8, such that when\r\n" );
document.write( "added...\r\n" );
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document.write( "C. Look at the 6, which completes our sentence:\r\n" );
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document.write( "\"Think of two positive integers which have product 8, such that when\r\n" );
document.write( "added gives 6\".\r\n" );
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document.write( "D. It's easy to do that and come up with 4 and 2, because 4×2=8 and 4+2=6\r\n" );
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document.write( "Now write this:\r\n" );
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document.write( "(x 4)(x 2)\r\n" );
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document.write( "E. Now look at the sign before the 6.  It is a -. So put a - before the\r\n" );
document.write( "larger one, which is 4, so we have:\r\n" );
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document.write( "(x+4)(x 2)\r\n" );
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document.write( "F. Since the sign of 8 is +, we use the same sign for 2, so the answer is\r\n" );
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document.write( "(x+4)(x+2).\r\n" );
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document.write( "-----------------------\r\n" );
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document.write( "4. x^2-3x-15\r\n" );
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document.write( "Look at it from right to left:\r\n" );
document.write( "First look at the 15, then the -, then the 3 then the -.\r\n" );
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document.write( "A. Look at the 15.  Start with this partial sentence:\r\n" );
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document.write( "\"Think of two positive integers which have product 15, such that when...\r\n" );
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document.write( "B. Look at the sign - before the 15, which tells us that the next word is\r\n" );
document.write( "\"subtracted\".  So now our partial sentence is:\r\n" );
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document.write( "\"Think of two positive integers which have product 15, such that when\r\n" );
document.write( "subtracted...\r\n" );
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document.write( "C. Look at the 3, which completes our sentence:\r\n" );
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document.write( "\"Think of two positive integers which have product 15, such that when\r\n" );
document.write( "subtracted gives 3\".\r\n" );
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document.write( "D. Oh! oh!  There are NO SUCH POSITIVE INTEGERS!!! So we cannot factor\r\n" );
document.write( "this, so we STOP and write \" This trinomial is PRIME\".\r\n" );
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document.write( "Edwin
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