Analysis and Approaches for IBDP Maths Ebook 2 | Page 32

Your Practice Set – Analysis and Approaches for IBDP Mathematics
3. When
3 2
4x � px � qx is divided by x � 2 and x � 2
that p , q� .
, the remainders are equal. Given
(a) Find the value of q ;
(b) Find the set of values of p .
[3]
[1]
4 2
4. Let f ( x) � x � 4x �3x
� 2 . The remainder when f( x ) is divided by ( x� p)
is q , and
the remainder when f( x ) is divided by ( x� p)
is q � 12, where p and q are constants.
Find the value of p and the value of q .
[5]
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