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Algebraic Techniques, SM-Bank 151

Fully factorise the following:

  1. \(4x^2-2x\)  (2 marks)

  2. \(-6ab+3a\)  (2 marks)

  3. \(-5q-10q^2\)  (2 marks)

Show Answers Only

a.    \(2x(2x-1)\)

b.    \(-3a(2b-1)\)

c.    \(-5q(1+2q)\)

Show Worked Solution
a.    \(4x^2-2x\) \(=2x\times 2x+2x\times (-1)\ \ \ \ (\text{HCF}=2x)\)
    \(=2x(2x-1)\)

 

b.    \(-6ab+3a\) \(=-3a\times 2b-3a\times(-1)\ \ \ \ (\text{HCF}=-3a)\)
    \(=-3a(2b-1)\)

 

c.    \(-5q-10q^2\) \(=-5q\times 1-5q\times 2q\ \ \ \ (\text{HCF}=-5q)\)
    \(=-5q(1+2q)\)