Divide $10x^{3} - 15x^{2} + 25x$ by $5x$.

Divide $10x^{3} - 15x^{2} + 25x$ by $5x$.
  1. $2x^{2} - 3x + 5$
  2. $2x^{2} - 3x - 5$
  3. $2x - 3 + 5$
  4. $2x^{3} - 3x^{2} + 5x$

Solution

Divide each term: $\dfrac{10x^{3}}{5x}=2x^{2}, \dfrac{-15x^{2}}{5x}=-3x, \dfrac{25x}{5x}=5$.

Asked in: IMO

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