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31 October, 02:21

Which of the following is a factor of both

X^2-2x-3 and x^2-5x-6?

Answer choices:

A. X-3

B. X+3

C. X-1

D. x+1

+4
Answers (2)
  1. 31 October, 02:26
    0
    X^2-2x-3 = (x - 3) (x + 1)

    x^2-5x-6 = (x - 6) (x + 1)

    answer

    D. x+1
  2. 31 October, 02:35
    0
    X^2-2x-3

    x^2+x-3x-3

    x (x+1) - 3 (x+1)

    (x-3) (x+1)

    ...

    x^2-5x-6

    x^2+x-6x-6

    x (x+1) - 6 (x+1)

    (x-6) (x+1)

    So the common factor is (x+1)
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