Home »  Factorize completely (frac{x^{3} + 3x^{2} – 10x}{2x^{2} – 8})

 Factorize completely (frac{x^{3} + 3x^{2} – 10x}{2x^{2} – 8})

 Factorize completely (frac{x^{3} + 3x^{2} – 10x}{2x^{2} – 8})

  • A.

    x(x-5)
    2(x+2)
  • B.

    x(x-5)
    2(x-2)
  • C.

    x(x+5)
    2(x+2)
  • D.

    x2+5
    2x+4
Correct Answer: Option C
Explanation

(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)})