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} + 5x + 14 = 0

D. x^{2} + 5x – 14 = 0

E. x^{2} – 5x – 14 = 0

Correct Answer: Option E

**E. x ^{2} – 5x – 14 = 0**

Explanation

x + 2 and x – 7 are factors

(x+2)(x+7) = 0

x(x-7) + 2(x-7) = 0

x2 – 7x + 2x – 14 = 0

x2 – 5x – 14 = 0

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