Factorise $10x^{3} - 15x^{2} + 5x$.

Factorise $10x^{3} - 15x^{2} + 5x$.
  1. $5x(2x^{2} - 3x + 1)$
  2. $5x(2x^{2} - 3x - 1)$
  3. $5(2x^{3} - 3x^{2} + x)$
  4. $x(10x^{2} - 15x + 5)$

Solution

GCD of the three terms is $5x$. Factoring out: $5x(2x^{2} - 3x + 1)$.

Asked in: IMO

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