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

Question

Which of the following is a common factor of both x² – 4x – 5 and x² – 6x – 7?

A. x - 7

B. x + 5

C. x - 1

D. x + 1

Answer: D. x + 1

Solution:

The Equation,

x² – 4x – 5

= (x – 5)(x + 1),

and

x² – 6x – 7

= (x – 7)(x + 1).

Hence, The common factor is x + 1.

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