Factorize completely {x³ + 3x² - 10x}{2x² - 8}

Correct Answer is : x(x+5)2(x+2)

Correct Answer is : x(x+5)2(x+2)

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JAMB Mathematics 2010 Paper

Question : 5

Total: 49

\frac{x^{3} + 3x^{2} - 10x}{2x^{2} - 8}

Solution:

$\frac{x^{3} + 3x^{2} - 10x}{2x^{2} - 8} = \frac{x(x^{2} + 3x - 10)}{2(x^{2} - 4)}$

= $\frac{x(x^{2} - 2x + 5x - 10)}{2(x - 2)(x + 2)}$

= $\frac{x(x - 2)(x + 5)}{2(x - 2)(x + 2)}$

= $\frac{x(x + 5)}{2(x + 2)}$

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