Mathematics Pure Math 1 9709: BINOMIAL THEOREM Topical Past Paper Questions
Cambridge AS & A Level Mathematics Pure Math 1 (9709) past-paper questions on BINOMIAL THEOREM, free. This topic is frequently examined across 23 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
The coefficient of $ x^{4} $ in the expansion of $ (p+2x)^{5} $ is equal to the coefficient of $ x^{2} $ in the expansion of $ (1-2qx)^{4} $, where p and q are constants. (a) Find an expression for p in terms of q. (b) Given that $ p=\frac{6}{5} $, find the two possible values of…
In the expansion of $ (p+qx)^{4} $, the coefficient of x is equal to the coefficient of $ x^{2} $. The constants p and q are both positive. (a) Find the ratio p : q. Give your answer in its simplest form. [3] (b) It is given that the coefficient of $ x^{3} $ is 486. Find the valu…
(a) Find the coefficients of $ x^{3} $ and $ x^{4} $ in the expansion of $ (3 - ax)^{5} $, where a is a constant. Give your answers in terms of a. [3] (b) Given that the coefficient of $ x^{4} $ in the expansion of $ (ax+7)(3-ax)^{5} $ is 240, find the positive value of a. [3]
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