Construct a quadratic equation whose roots are (-frac{1}{2}) and 2.

Construct a quadratic equation whose roots are (-frac{1}{2}) and 2.

Correct Answer: Option E

Explanation

If x = (-frac{1}{2}) and 2; then

(x + frac{1}{2} = 0) and (x – 2 = 0)

(implies (x + frac{1}{2})(x – 2) = 0)

(x^2 – 2x + frac{1}{2}x – 1 = 0)

(x^2 – frac{3}{2}x – 1 = 0)

(2x^2 – 3x – 2 = 0)