S4 Past Paper M2 Ch3 - 19902010 CE A.Math Questions S4 M2 Chapter 3 Binomial Theorem[10 Q5 The sum of the coefficients of x and x2 in the expansion of(1

S4 Past Paper M2 Ch3 - 19902010 CE A.Math Questions S4 M2...

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1990–2010 CE A.Math Questions P.1 of 3 S4 M2 Chapter 3: Binomial Theorem [10 Q5] The sum of the coefficients of x and x 2 in the expansion of n x ) 4 1 ( + is 180, where n is a positive integer. Find the value of n and the coefficient of x 3 . [09 Q11] In the binomial expansion of 20 2 1 + x x , find (a) the coefficient of x 16 , (b) the constant term. [08 Q2] (a) Expand 3 1 2 + x x . (b) Find the coefficient of x in the expansion of 3 2 1 2 ) 5 3 ( + - - x x x x . [05 Q2] (a) Expand 5 ) 1 ( y + . (b) Using (a), or otherwise, expand 5 2 ) 2 1 ( x x + + in ascending powers of x up to x 2 . [04 Q2] (a) Expand 6 ) 2 1 ( x + in ascending powers of x up to the term x 3 . (b) Find the constant term in the expansion of 6 2 ) 2 1 ( 1 1 1 x x x + + - . [03 Q12] Determine whether the expansion of 9 2 1 2 + x x consists of (a) a constant term, (b) an x 2 term. In each part, find the term if it exists.
1990–2010 CE A.Math Questions P.2 of 3 [02 Q1] If n is a positive integer and the coefficient of x 2

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