**Question**

**Which of the following is a common factor of both x**^{2} – 4x – 5 and x^{2} – 6x – 7?

^{2}– 4x – 5 and x

^{2}– 6x – 7?

A. x - 7

B. x + 5

C. x - 1

D. x + 1

**Answer: D. x + 1**

**Solution:**

The Equation,

**x ^{2} – 4x – 5**

= (x – 5)(x + 1),

and

**x ^{2} – 6x – 7**

= (x – 7)(x + 1).

**Hence, The common factor is x + 1.**

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