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Compute the coefficientsof x^5 in (1+2x+3x^2)(3+2x+x^2)(1+x+x^2).

A.11

B.9

C.8

D.5

 May 15, 2016
 #1
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x^5 terms can only arise from the following combinations:  

 

2x*x^2*x^2    coeff → 2

3x^2*2x*x^2  coeff → 6

3x^2*x^2*x   coeff → 3

 

So overall coefficient of x^5 tterm is 2 + 6 + 3 → 11  (solution A in your list).

 May 15, 2016

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