Find the quadratic equation whose roots are x = -2 or x = 7
- A.
x^{2} + 2x – 7 = 0 - B.
x^{2} – 2x + 7 = 0 - C.
x^{2} + 5 +14 = 0 - D.
x^{2} – 5x – 14 = 0 - E.
x^{2} + 5x – 14 = 0
Correct Answer: Option D
Explanation
x + 2 and x – 7 are factors
(x+2)(x+7) = 0
x(x-7) + 2(x-7) = 0
x^{2} – 7x + 2x – 14 = 0
x^{2} – 5x – 14 = 0