SOLUTION: I am working on this question and need help on it.. Which of the following is the correct factorization of (x2 - x - 6) ? a.(x-3)(x+2) b.(x+3)(x-2) c.(x+3)(x+2)

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Question 899930: I am working on this question and need help on it..
Which of the following is the correct factorization of (x2 - x - 6) ?
a.(x-3)(x+2)
b.(x+3)(x-2)
c.(x+3)(x+2) - I picked
d.(x-3)(x-2)

Found 2 solutions by ewatrrr, lenny460:
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
x^2 - x -6 = (x+2)(x-3) careful on the Signs
F First terms x^2
O Outside terms -3x
I Inside terms 2x
L Last terms -6
d.(x-3)(x-2)

c.(x+3)(x+2)-i picked
See FOIL, this is x^2 + 5x + 6

Answer by lenny460(1073) (Show Source):
You can put this solution on YOUR website!
I am working on this question and need help on it..
Which of the following is the correct factorization of (x2 - x - 6) ?
a.(x-3)(x+2)
b.(x+3)(x-2)
c.(x+3)(x+2) - I picked
d.(x-3)(x-2)

The answer (c) you picked is incorrect. When you FOIL you get
x^2 + 5x + 6

The correct answer is (a).
You get x^2 - x - 6

Choice (d) you get x^2 - 5x + 6.

You must be very careful with signs (-) and (+) when factoring.

Answer:
(a)

SOLUTION: I am working on this question and need help on it.. Which of the following is the correct factorization of (x2 - x - 6) ? a.(x-3)(x+2) b.(x+3)(x-2) c.(x+3)(x+2) - I picked