05 - Partial Fractions
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St Joseph’s Institution Secondary Four Mathematics TOPIC − Partial Fractions Name:_____________________________________ ( Q1)
Express the following in terms of their partial fractions 5−x a) ( x + 1)( 2 x − 1) b)
c)
Q2)
3 1 + x − 2x 2 x2 + 7
( x − 3)( x + 1) 2
d)
2x ( 2x + 1) 4 x 2 − 1
e)
3 x 2 + 2x − 1 ( x + 1) 4 x 1 + 1
f)
9x 3 x x2 + x + 2
(
)
(
(
)
)
Find the value of A, of B, of C and of D 2 x 3 + 11x − 4 Bx + C D ≡ A+ 2 + . 2 x + 4 ( x − 1) x + 4 x −1
(
Q3)
) Class: ___________
Express
© Jason Ingham 2009
)
x3 − 2 in partial fractions. 2x 3 − x 2
1
Express the following in terms of their partial fractions 5−x a) ( x + 1)( 2 x − 1) b)
c)
Q2)
3 1 + x − 2x 2 x2 + 7
( x − 3)( x + 1) 2
d)
2x ( 2x + 1) 4 x 2 − 1
e)
3 x 2 + 2x − 1 ( x + 1) 4 x 1 + 1
f)
9x 3 x x2 + x + 2
(
)
(
(
)
)
Find the value of A, of B, of C and of D 2 x 3 + 11x − 4 Bx + C D ≡ A+ 2 + . 2 x + 4 ( x − 1) x + 4 x −1
(
Q3)
) Class: ___________
Express
© Jason Ingham 2009
)
x3 − 2 in partial fractions. 2x 3 − x 2
1
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