Algebra 3
2 marks · EasyFactorise completely: 8x^2 - 20x
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4x(2x - 5)
Also accept: 4x(2x-5)
Common mistakes: Taking out only x or only 2 as a factor
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Marking points
M1 · 1 mark · Attempts to factorise by taking out a common factor (either 2 or x).
A1 · 1 mark · Correctly factorises completely as 4x(2x - 5).
Worked solution
Write each term as a product: 8x^2 = 4x \times 2x, and 20x = 4x \times 5.
Factor 4x from both terms: