When f(x) is divided by (x – 1), the remainder is 7.
(a) Show that a + b = 3.
When f(x) is divided by (x + 2), the remainder is -8.
(b) Find the value of a and the value of b.
Find
(a) the common ratio of the series,
(b) the first term of the series,
(c) the sum to infinity of the series. Core 2 Mathematics Edexcel January 2011 Question 4 The finite region R, shown shaded in Figure 1, is bounded by C and the x-axis.
(b) Use integration to find the area of R.
(a) write down the value of b.
In the binomial expansion of (1 + x)40, the coefficients of x4 and x5 are p and q respectively.
(b) Find the value of q/p.
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