Topic explanation

Standard explanation

Repeated linear factors need every power; irreducible quadratics use a linear numerator.

Key points

• Repeated and irreducible factors
• rule
• worked example
• Repeated and irreducible factors: Repeated linear factors need every power; irreducible quadratics use a linear numerator.
• CONCEPT AND RULE: Repeated linear factors need every power; irreducible quadratics use a linear numerator.
• METHOD: For repeated and irreducible factors, identify the given information and required result. Select the
• Repeated linear factors need every power; irreducible quadratics use a linear numerator.
• Worked pattern: For 1/[x(x-1)^2], include Ax+Bx-1+Cx-1².

Labelled diagram