document.write( "Question 48555: I'm taking an online class and the book does not give a very good explanation on how to do the following problem: Please help.\r
\n" ); document.write( "\n" ); document.write( "Factor, using the given factor. Assume all variables represent positive real numbers.\r
\n" ); document.write( "\n" ); document.write( "2k^-3 + k^-8 ; k^-8 \n" ); document.write( "
Algebra.Com's Answer #32139 by AnlytcPhil(1810)\"\" \"About 
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Factor, using the given factor. Assume all variables \r\n" );
document.write( "represent positive real numbers.\r\n" );
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document.write( "2k-3 + k-8 ; k-8 \r\n" );
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document.write( "It means to put the k-8 on the left, followed \r\n" );
document.write( "by an open parentheses with a couple blanks and\r\n" );
document.write( "a + sign between like this:\r\n" );
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document.write( "k-8(    +    )    \r\n" );
document.write( "    ŻŻŻ   ŻŻ\r\n" );
document.write( "and then fill in those two blanks in the parentheses \r\n" );
document.write( "with two terms such that if you were to distribute it\r\n" );
document.write( "out you would get the original expression 2k-3 + k-8.\r\n" );
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document.write( "To find out what goes in the first blank divide 2k-3 \r\n" );
document.write( "by k-8 by subtracting exponents -3 MINUS -8.  Do that \r\n" );
document.write( "out to the side or on scrap paper, like this\r\n" );
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document.write( "(-3) - (-8) =  -3 + 8 = 5   \r\n" );
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document.write( "then write 2k5 in the first blank\r\n" );
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document.write( "k-8(2k5 +    )\r\n" );
document.write( "    ŻŻŻ   ŻŻ\r\n" );
document.write( "To find out what goes in the second blank divide 2k-8 by\r\n" );
document.write( "k-8 by subtracting exponents -8 MINUS -8.  Do that out to \r\n" );
document.write( "the side or on scrap paper, like this\r\n" );
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document.write( "(-8) - (-8) =  -8 + 8 = 0 \r\n" );
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document.write( "So that means k0 goes in the second blank.\r\n" );
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document.write( "k-8(2k5 + k0 )\r\n" );
document.write( "    ŻŻŻ   ŻŻ\r\n" );
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document.write( "But k0 is just 1, so we erase the k0 and put a 1 there\r\n" );
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document.write( "k-8(2k5 +  1 )\r\n" );
document.write( "    ŻŻŻ   ŻŻ\r\n" );
document.write( "Answer:\r\n" );
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document.write( "k-8(2k5 + 1)\r\n" );
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document.write( "Edwin
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