document.write( "Question 54473: Determine the value of 'a' if (x + 2) is a factor of
\n" ); document.write( "(x³ - ax² + 7x + 10).
\n" ); document.write( "Many thanks \n" ); document.write( "
Algebra.Com's Answer #36725 by ankor@dixie-net.com(22740)\"\" \"About 
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:
\n" ); document.write( "(x^3 - ax^2 + 7x + 10). Find a if (x+2) is a factor
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\n" ); document.write( "You can use synthetic division, looking for a remainder of 0:
\n" ); document.write( "Used \"...\" to try and get it to line up, without much success
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\n" ); document.write( " -2 | 1 - a + 7 + 10
\n" ); document.write( "...........- 2 + (2a+4) + (-4a-22)
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\n" ); document.write( ".........1 + (-a-2) + (2a+11) + 0
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\n" ); document.write( "10 + (-4a - 22) = 0
\n" ); document.write( "-4a - 22 + 10 = 0
\n" ); document.write( " -4a - 12 = 0
\n" ); document.write( " -4a = +12
\n" ); document.write( " a = +12/-4
\n" ); document.write( " a = -3\r
\n" ); document.write( "\n" ); document.write( "That would give you x^3 - (-3)x^2 + 7x + 10
\n" ); document.write( "Which is; x^3 + 3x^2 + 7x + 10
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\n" ); document.write( "Divide (x+2) into this and you get: x^2 + x + 5 \n" ); document.write( "
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