document.write( "Question 1206241: So I really have no clue what to do for this question. The textbook asks for the coefficient of x. My thinking was that the coefficient should be 16, however, the answer is 96. The answer also calls for using Pascal's Triangle.
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Algebra.Com's Answer #843539 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "(NOTE: The answer is not 96....)

\n" ); document.write( "Here are the first several rows of Pascal's Triangle:

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document.write( "                   1  <------------- row 0\r\n" );
document.write( "                 1   1  <----------- row 1\r\n" );
document.write( "               1   2   1  <--------- row 2\r\n" );
document.write( "             1   3   3   1  <------- row 3\r\n" );
document.write( "           1   4   6   4   1  <----- row 4\r\n" );
document.write( "         1   5  10  10   5   1  <--- row 5

\n" ); document.write( "The numbers in row n are the coefficients of the expansion of $\"%28a%2Bb%29%5En\"$ .

\n" ); document.write( "For example, the \"1 3 3 1\" in row 3 are the coefficients in the expansion of

\n" ); document.write( "Your expression is $\"2x%2B2%29%5E4\"$ , so you are interested in the numbers in row 4 of Pascal's Triangle. Using your expression $\"2x%2B2%29\"$ and the numbers in row 4....

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\n" ); document.write( "You are asked for the coefficient of the x term. That term is $\"%284%29%28%282x%29%5E1%29%282%29%5E3\"$ ; the coefficient is $\"%284%29%282%29%28%282%5E3%29%29=4%2A2%2A8=64\"$ .
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