JSS2 Second Term Mathematics Lesson Note – Factorization of Quadratic Expressions

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WEEK 2

TOPIC: Factorization of quadratic expressions

CONTENT:

• Expansion leading to quadratic expression
• Factorization of simple quadratic expressions
• Difference of two squares
• Algebraic expression of fractions with monomial denominators
• Quantitative reasoning

Expansion Leading to Quadratic Expression

A quadratic expression is one in which 2 is the highest power of the unknown(s) in the expression. For example,  are all quadratic expressions.

Example: Expand: a) (a + 3) (a – 4)

1. b) (2x + 3) (4x – 5)

Solution:

1. a) (a + 3) (a – 4) = a (a – 4) + 3(a – 4)

= a² – 4a + 3a – 12

= a² – a – 12

1. b) (2x + 3) (4x – 5) = 4x (2x + 3) – 5(2x + 3)

= 8x² + 12x – 10x – 15

= 8x² + 2x – 15

1. c) (4m-n)(3m-n) = 4m(3m-n)-n(3m-n)

= 12m²-4mn-3mn+n²

= 12m²-7mn+n²

ALTERNATIVE METHOD:

• X + 2

X – 5

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