Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
Expert Solution & Answer
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Chapter 6.2, Problem 9Q
Solution

To write: the coefficient of x3 in the expansion of given expression.

  5376 .

Given information:

The given expression is:

  x+29

Formula Used:

Combinations of n Objects Taken r at a Time

The number of combinations of r objects taken from a group of n distinct objects is denoted by Cnr and is given by the formula:

  Cnr=n!nr!r!

  Cn0=1Cnn=1

Theorem Used:

Binomial Theorem

For any positive integer n , the binomial expansion of a+bn is:

  a+bn=Cn0anb0+Cn1an1b1+Cn2an2b2++Cnna0bn

Here, each term in the expansion of a+bn has the form Cnranrbr where r s an integer from 0 to n .

Explanation:

By using the binomial theorem, the given expression x+29 is written in expanded form as:

  x+29=C90x920+C91x9121+C92x9222+C93x9323++C99x9929

Here, each term in the expansion has the form C9rx9r2r where r s an integer from 0 to 9.

Now, the term containing x3 occurs when r=6 :

  C196x9626=9!96!6!x364=9!3!6!x364=84x364=5376x3

So, the coefficient of x3 is 5376 .

Chapter 6 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 6.1 - Prob. 11GPCh. 6.1 - Prob. 12GPCh. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10ECh. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48PSCh. 6.1 - Prob. 49PSCh. 6.1 - Prob. 50PSCh. 6.1 - Prob. 51PSCh. 6.1 - Prob. 53PSCh. 6.2 - Prob. 1GPCh. 6.2 - Prob. 2GPCh. 6.2 - Prob. 3GPCh. 6.2 - Prob. 4GPCh. 6.2 - Prob. 5GPCh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - Prob. 9ECh. 6.2 - Prob. 10ECh. 6.2 - Prob. 11ECh. 6.2 - Prob. 12ECh. 6.2 - Prob. 13ECh. 6.2 - Prob. 14ECh. 6.2 - Prob. 15ECh. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - Prob. 32ECh. 6.2 - Prob. 33ECh. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Prob. 43PSCh. 6.2 - Prob. 44PSCh. 6.2 - Prob. 45PSCh. 6.2 - Prob. 46PSCh. 6.2 - Prob. 47PSCh. 6.2 - Prob. 48PSCh. 6.2 - Prob. 49PSCh. 6.2 - Prob. 1QCh. 6.2 - Prob. 2QCh. 6.2 - Prob. 3QCh. 6.2 - Prob. 4QCh. 6.2 - Prob. 5QCh. 6.2 - Prob. 6QCh. 6.2 - Prob. 7QCh. 6.2 - Prob. 8QCh. 6.2 - Prob. 9QCh. 6.2 - Prob. 10QCh. 6.2 - Prob. 11QCh. 6.2 - Prob. 12QCh. 6.2 - Prob. 13QCh. 6.2 - Prob. 14QCh. 6.2 - Prob. 15QCh. 6.2 - Prob. 16QCh. 6.2 - Prob. 17QCh. 6.2 - Prob. 1PCh. 6.2 - Prob. 2PCh. 6.2 - Prob. 3PCh. 6.2 - Prob. 4PCh. 6.2 - Prob. 1MRPSCh. 6.2 - Prob. 2MRPSCh. 6.2 - Prob. 3MRPSCh. 6.2 - Prob. 4MRPSCh. 6.2 - Prob. 5MRPSCh. 6.2 - Prob. 6MRPSCh. 6.2 - Prob. 7MRPSCh. 6.2 - Prob. 8MRPSCh. 6.2 - Prob. 1DCCh. 6.3 - Prob. 1GPCh. 6.3 - Prob. 2GPCh. 6.3 - Prob. 3GPCh. 6.3 - Prob. 4GPCh. 6.3 - Prob. 5GPCh. 6.3 - Prob. 6GPCh. 6.3 - Prob. 7GPCh. 6.3 - Prob. 8GPCh. 6.3 - Prob. 9GPCh. 6.3 - Prob. 1ECh. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Prob. 25ECh. 6.3 - Prob. 26ECh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Prob. 31PSCh. 6.3 - Prob. 32PSCh. 6.3 - Prob. 33PSCh. 6.3 - Prob. 34PSCh. 6.3 - Prob. 35PSCh. 6.3 - Prob. 36PSCh. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.4 - Prob. 1GPCh. 6.4 - Prob. 2GPCh. 6.4 - Prob. 3GPCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Prob. 21ECh. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27PSCh. 6.4 - Prob. 28PSCh. 6.4 - Prob. 29PSCh. 6.4 - Prob. 30PSCh. 6.4 - Prob. 31PSCh. 6.4 - Prob. 32PSCh. 6.4 - Prob. 1DCCh. 6.4 - Prob. 2DCCh. 6.5 - Prob. 1GPCh. 6.5 - Prob. 2GPCh. 6.5 - Prob. 3GPCh. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 5ECh. 6.5 - Prob. 6ECh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Prob. 12ECh. 6.5 - Prob. 13PSCh. 6.5 - Prob. 14PSCh. 6.5 - Prob. 15PSCh. 6.5 - Prob. 17PSCh. 6.5 - Prob. 18PSCh. 6.5 - Prob. 1QCh. 6.5 - Prob. 2QCh. 6.5 - Prob. 3QCh. 6.5 - Prob. 4QCh. 6.5 - Prob. 5QCh. 6.5 - Prob. 6QCh. 6.5 - Prob. 7QCh. 6.5 - Prob. 8QCh. 6.5 - Prob. 1DCCh. 6.5 - Prob. 2DCCh. 6.5 - Prob. 3DCCh. 6.5 - Prob. 1MRPSCh. 6.5 - Prob. 2MRPSCh. 6.5 - Prob. 3MRPSCh. 6.5 - Prob. 4MRPSCh. 6.5 - Prob. 5MRPSCh. 6.5 - Prob. 6MRPSCh. 6.5 - Prob. 7MRPSCh. 6.5 - Prob. 8MRPSCh. 6 - Prob. 1VECh. 6 - Prob. 2VECh. 6 - Prob. 3VECh. 6 - Prob. 1REAECh. 6 - Prob. 2REAECh. 6 - Prob. 3REAECh. 6 - Prob. 4REAECh. 6 - Prob. 5REAECh. 6 - Prob. 6REAECh. 6 - Prob. 7REAECh. 6 - Prob. 8REAECh. 6 - Prob. 9REAECh. 6 - Prob. 10REAECh. 6 - Prob. 11REAECh. 6 - Prob. 12REAECh. 6 - Prob. 13REAECh. 6 - Prob. 14REAECh. 6 - Prob. 15REAECh. 6 - Prob. 16REAECh. 6 - Prob. 17REAECh. 6 - Prob. 18REAECh. 6 - Prob. 19REAECh. 6 - Prob. 20REAECh. 6 - Prob. 21REAECh. 6 - Prob. 22REAECh. 6 - Prob. 23REAECh. 6 - Prob. 24REAECh. 6 - Prob. 1TCh. 6 - Prob. 2TCh. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5TCh. 6 - Prob. 6TCh. 6 - Prob. 7TCh. 6 - Prob. 8TCh. 6 - Prob. 9TCh. 6 - Prob. 10TCh. 6 - Prob. 11TCh. 6 - Prob. 12TCh. 6 - Prob. 13TCh. 6 - Prob. 14TCh. 6 - Prob. 15TCh. 6 - Prob. 16TCh. 6 - Prob. 17TCh. 6 - Prob. 18TCh. 6 - Prob. 19TCh. 6 - Prob. 20TCh. 6 - Prob. 21TCh. 6 - Prob. 22TCh. 6 - Prob. 23TCh. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 1TPCh. 6 - Prob. 2TPCh. 6 - Prob. 3TPCh. 6 - Prob. 4TPCh. 6 - Prob. 5TPCh. 6 - Prob. 6TPCh. 6 - Prob. 7TPCh. 6 - Prob. 8TPCh. 6 - Prob. 9TPCh. 6 - Prob. 10TPCh. 6 - Prob. 11TPCh. 6 - Prob. 12TPCh. 6 - Prob. 13TPCh. 6 - Prob. 14TPCh. 6 - Prob. 15TPCh. 6 - Prob. 16TPCh. 6 - Prob. 17TPCh. 6 - Prob. 18TPCh. 6 - Prob. 19TP
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