Analysis and Approaches for IBDP Maths Ebook 2 | Page 30

Your Practice Set – Analysis and Approaches for IBDP Mathematics
SUMMARY POINTs
�
�
�
Factor theorem:
( x� a)
is a factor of f( x ) if f( a) � 0
� q �
( px � q)
is a factor of f( x ) if f � � � 0
� p �
Remainder theorem:
f( a ) is the remainder when f( x ) is divided by ( x�
a)
� q �
f � � is the remainder when f( x ) is divided by ( px � q)
� p �
Partial fractions:
1.
ax � b
( cx �d)( ex � f )
ax � b
2.
2
( cx � d)
can be expressed as
P Q
�
cx �d ex � f
P Q
can be expressed as �
2
cx �d ( cx �d)
Solutions of Chapter 2
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