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1.2 - 2015 Q3

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where A and B are constants.
Given that when f(x) is divided by (x + 1) the remainder is 45,

(a) show that B – A = 48 (2)

Given also that (2x + 1) is a factor of f(x),

(b) find the value of A and the value of B. (4)

​(c) Factorise f(x) fully. (3)
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