cameroon gce ordinary level June 2022 additional mathematics 2

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cameroon gce ordinary level June 2022 additional mathematics 2

cameroon gce ordinary level June 2022 additional mathematics 2

THIS SECTION IS COMPULSORY TO ALL CANDIDATES
(ANSWER ALL QUESTIONS)
(i) Given that (x + 1) is a factor of /(x), where /(x) = 2x3– 3xz + lex + 2.
(a) Find the value of k.
With this value of k,
(b) factorise f {x ) completely
(ii) The quadratic equation x 2 + Ax — 3 = 0 has roots a and /?.
(a) Find the values a + /? and a/?
(b) Find the value of ~ +^

Find the number of permutations of the letters of the word “MAXIMUM”
Find the coefficient of the term in x 4 in the binomial expansion of

A woman has a maximum of 24,000 FCFA to buy x exercise books and y text books for her children ,
a) Given that an exercise book cost 600 FCFA and a text book cost 2400 FCFA. Show that x + 4y 40.
(2 marks)
b) Given also that:
the number of text books is at most one quarter the number of exercise books,
the sum of an exercise book and ten text books is at least 40,
write down two inequalities in terms of x and y that satisfy the conditions in (b)
c) On a graph paper, taking 2 cm to represent 2 units on the y-axis and 5 units on the x-axis, shade,
so as to leave unshaded, the region represented by these 3 inequalities.
Given that she bought both exercise books and text books for the children.
d) From your graph, find the maximum number of books she bought and the amount she spent.

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