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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