document.write( "Question 557630: Express x^2 - 10x + 32 in the form (x-h)^2 + g Thank you \n" ); document.write( "

Algebra.Com's Answer #362680 by Edwin McCravy(20060) $\"\"$ $\"About$

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Express x² - 10x + 32 in the form (x-h)² + g
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document.write( "1. Get the coefficient of x, which is -10\r\n" );
document.write( "2. Multiply it by , get -10 = -5\r\n" );
document.write( "3. Square this result, get (-5)² = 25\r\n" );
document.write( "4. Add this value, 25, then subtract it, after the 10x \r\n" );
document.write( "   (this just amounts to adding nothing, or zero)\r\n" );
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document.write( "x² - 10x + 25 - 25 + 32\r\n" );
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document.write( "Put parentheses around the first three terms\r\n" );
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document.write( "(x² - 10x + 25) - 25 + 32\r\n" );
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document.write( "Combine the two numbers on the right:\r\n" );
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document.write( "(x² - 10x + 25) + 7\r\n" );
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document.write( "Factor the trinomial:\r\n" );
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document.write( "(x - 5)(x - 5) + 7\r\n" );
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document.write( "Since the two factors are the same we write it just once squared:\r\n" );
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document.write( "(x - 5)² + 7\r\n" );
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document.write( "That's it.\r\n" );
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document.write( "Edwin

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