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Contents
Quadratic Factors 1 2
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Quadratic Factors
  What if one of the factors in the
denominator is quadratic?
If the quadratic
expression can be factorised into linear factors, for example,
x2
- x + 2 = (x - 2)(x + 1), use the rules for linear factors.
This section
deals with when the expression cannot be factorised, for example,
x2
+1.
Express
in partial fractions: .
Let
 .
Do
note that the fraction is not expressed as
 .
A can be found using
the cover-up rule.
= 3
However, B and C
must be found using algebraic identities.
3x2 + 7x
- 11 = 3 (x2 + 1) + (Bx + C) (x - 2)
= x2 (B + 3) + x (C - 2B) + 3 - 2C
Comparing coefficient of x2
:
B + 3 = 3
B = 0
Comparing constant term:
3 - 2C = -11
C = 7
Therefore,
The next page consists of more
examples on quadratic factors.
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