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Let P BE A PRODUCT GIVEN BY P=(X+A1)(X+A2)(X+A3)…………….(X+AN) LET S1=A1+A2+A3……….+AN S2=∑∑Ai*AJ WHERE I P=X^N+(S1*X^N-1)+(S2*X^N-2)………………………+SN Q.1 THE COEFFICIENT OF X^8 IN THE EXPRESSION (2+X)^2*(3+X)^3*(4+X)^4 Q.2 THE COEFFICIENT OF X^203 IN THE EXP. (X-1)(X^2-2)………… .(X^20-20) dd f d dc dd d dd

Let  P BE A PRODUCT GIVEN BY P=(X+A1)(X+A2)(X+A3)…………….(X+AN)


LET S1=A1+A2+A3……….+AN


S2=∑∑Ai*AJ WHERE I


P=X^N+(S1*X^N-1)+(S2*X^N-2)………………………+SN


 


Q.1 THE COEFFICIENT OF X^8 IN THE EXPRESSION (2+X)^2*(3+X)^3*(4+X)^4


 


Q.2 THE COEFFICIENT OF X^203 IN THE EXP.


(X-1)(X^2-2)…………  .(X^20-20)


 


 


 


 


 


 


 


 


 


 


 


 


 


dd


f


d


dc


 


 


dd


d


dd

Grade:11

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
8 years ago
Hello student,
Please find the answer to your question below
2)This can be obtained by multiplying all the x terms leaving the coefficient of x7. ( 1.e. x7, x6* x1, x5*x2, x4*x3)..
There coefficient of x203 will be ( -7 + 6 *1+ 5*2 +4 * 3) = 21
I could not understand the symbols and notations in 1stquestion please check that question and post it correctly

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