a) Factorise the expression 2??2 – 7???? + 3??2 (2 marks) b) Find without using mathematical tables or a calculator, the values of x which satisfy the equation; ????????3 + ??????5?? = 5??????2 – ?????? 2 5 (3 marks) c) By correcting each number to one significant figure, approximate the value of 788×0.006. Hence calculate the percentage error arising from this approximation (4 marks) d) (i) Expand and simplify ? ?5 2 x ? (2 marks) (ii) Use the first 4 terms of your result in (i) to find the approximate value of ? ?5 8.1 to 2 d.p (3 marks)
e) Without using a calculator, simplify
4 1
3 2
16 8127 ? ? ? ? ? ? ? ? ? ?
? ? ?
x (3 marks)
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