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.
x^{2}+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)})