Cambridge International Mathematics

Algebra (Expansion and factorisation) (Chapter 1) 49 Aquadratic trinomialis an algebraic expression of the form ax^2 +bx+c where ...

50 Algebra (Expansion and factorisation) (Chapter 1) Example 32 Self Tutor Factorise: a x^2 ¡ 2 x¡ 15 b x^2 +x¡ 6 a sum=¡ 2 and ...

Algebra (Expansion and factorisation) (Chapter 1) 51 4 Factorise: a x^2 ¡ 7 x¡ 8 b x^2 +4x¡ 21 c x^2 ¡x¡ 2 d x^2 ¡ 2 x¡ 8 e x^2 ...

52 Algebra (Expansion and factorisation) (Chapter 1) In general, if we start with a quadratic trinomial we will need a method to ...

Algebra (Expansion and factorisation) (Chapter 1) 53 The following procedure is recommended for factorising ax^2 +bx+c by splitt ...

54 Algebra (Expansion and factorisation) (Chapter 1) j 2 x^2 ¡ 3 x¡ 9 k 3 x^2 ¡ 17 x+10 l 5 x^2 ¡ 13 x¡ 6 m 3 x^2 +10x¡ 8 n 2 x^ ...

Algebra (Expansion and factorisation) (Chapter 1) 55 3 Fully factorise: a ab+ac¡ 2 a b a^2 b^2 ¡ 2 ab c 18 x¡ 2 x^3 d x^2 +14x+4 ...

56 Algebra (Expansion and factorisation) (Chapter 1) 6 Fully factorise: a x^2 +10x+21 b x^2 +4x¡ 21 c x^2 ¡ 4 x¡ 21 d 6 ¡ 5 x+x^ ...

Sets 2 Contents: A Set notation [9.1, 9.2] B Special number sets [9.2] C Interval notation [9.2] D Venn diagrams [9.3] E Union a ...

58 Sets (Chapter 2) Theelementsof a set are the objects or members which make up the set. We use 2 to mean ‘is an element of’or‘ ...

Sets (Chapter 2) 59 THE COMPLEMENT OF A SET Suppose U=f 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 g and A=f 2 , 4 , 5 , 7 , 8 g The set of e ...

60 Sets (Chapter 2) There are some number sets we refer to frequently and so we give them special symbols. We use: ² ² Zto repre ...

Sets (Chapter 2) 61 EXERCISE 2B 1 True or false? a 32 Z+ b 62 Z c^342 Q d p 22 =Q e ¡^142 =Q f 2132 Z g 0 : 36842 R h 1 0 : 1 2 ...

62 Sets (Chapter 2) Example 4 Self Tutor a List the elements of the set: i fxj¡ 26 x 61 , x 2 Zg ii fxj 06 x< 4 , x 2 Ng b Wr ...

Sets (Chapter 2) 63 AVenn diagramconsists of a universal setUrepresented by a rectangle, and sets within it that are generally r ...

64 Sets (Chapter 2) Example 6 Self Tutor Illustrate on a Venn diagram: p 3 , 812 ,¡ 2 , 7 : 1 , 16 , 0 : 115 If two setsAandBhav ...

Sets (Chapter 2) 65 5 Q,Z, andN are all subsets of R. a b Place these numbers on the Venn diagram: 1 2 , p 2 , 0 : 3 ,¡ 5 , 514 ...

66 Sets (Chapter 2) In the Venn diagram alongside, A=f 2 , 3 , 4 , 7 g and B=f 1 , 3 , 7 , 8 , 10 g. We can see that A\B=f 3 , 7 ...

Sets (Chapter 2) 67 2aList: i setA ii setB iii setU iv setA\B v setA[B b Find: i n(A) ii n(B) iii n(U) iv n(A\B) v n(A[B) 3 Cons ...

68 Sets (Chapter 2) Example 9 Self Tutor On separate Venn diagrams, shade the region representing: a inAor inBbut not in both b ...