document.write( "Question 76275: 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
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Algebra.Com's Answer #54723 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

Use the ac test to determine which of the following trinomials can be factored.\r\n" );
document.write( "Find the values of m and n for each trinomial that can be factored. \r\n" );
document.write( "x(squared) - 3x +7 \r\n" );
document.write( "thanks\r\n" );
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document.write( "Example 1 (your example):\r\n" );
document.write( "1x² - 3x + 7\r\n" );
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document.write( "Multiply the 1 by the 7\r\n" );
document.write( "That gives 7.\r\n" );
document.write( "Now ask \"Can you think of two positive integers that have product 7 and\r\n" );
document.write( "SUM 3?\"  (It's \"SUM\" because the last sign is +)\r\n" );
document.write( "The answer is no.\r\n" );
document.write( "So it CANNOT be factored.\r\n" );
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document.write( "Example 2:\r\n" );
document.write( "1x² + 4x - 21\r\n" );
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document.write( "Multiply the 1 by the 21\r\n" );
document.write( "That gives 21.\r\n" );
document.write( "Now ask \"Can you think of two positive integers that have product 21 and\r\n" );
document.write( "DIFFERENCE 4?\"  (It's \"DIFFERENCE\" because the last sign is -)\r\n" );
document.write( "The answer is yes, because 7·3 = 21 and 7-3=4\r\n" );
document.write( "So it CAN be factored.\r\n" );
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document.write( "Example 3:\r\n" );
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document.write( "2x² - 7x + 6\r\n" );
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document.write( "Multiply the 2 by the 6\r\n" );
document.write( "That gives 12.\r\n" );
document.write( "Now ask \"Can you think of two positive integers that have product 12 and\r\n" );
document.write( "SUM 7?\"  (It's \"SUM\" because the last sign is +)\r\n" );
document.write( "The answer is yes, because 4×3=12 and 4+3=7\r\n" );
document.write( "So it CAN be factored.\r\n" );
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document.write( "Example 4\r\n" );
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document.write( "16x² - 8x + 1\r\n" );
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document.write( "Multiply the 16 by the 1\r\n" );
document.write( "That gives 16.\r\n" );
document.write( "Now ask \"Can you think of two positive integers that have product 16 and\r\n" );
document.write( "SUM 8?\"  (It's \"SUM\" because the last sign is +)\r\n" );
document.write( "The answer is yes, because 4·4 = 21 and 4+4=8\r\n" );
document.write( "So it CAN be factored.\r\n" );
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document.write( "Example 5\r\n" );
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document.write( "16x² - 8x - 1\r\n" );
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document.write( "Multiply the 16 by the 1\r\n" );
document.write( "That gives 16.\r\n" );
document.write( "Now ask \"Can you think of two positive integers that have product 16 and\r\n" );
document.write( "DIFFERENCE 8?\"  (It's \"DIFFERENCE\" because the last sign is +)\r\n" );
document.write( "The answer is no.\r\n" );
document.write( "So it CANNOT be factored.\r\n" );
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document.write( "Edwin

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