Question

Identify the factors of x2 − 4x − 12.

(x + 4)(x − 3)
(x − 4)(x + 3)
(x − 2)(x + 6)
(x + 2)(x − 6)

Answer 1

Answer: (x+2)(x-6)

Explanation:
(x+2)(x-6) = x^2 - 6x + 2x - 12 = x^2 - 4x - 12

Answer 2

Answer:

(x + 2)(x - 6)

Step-by-step explanation:

We are given the equation: x² - 4x - 12. Let's factor this.

First, look at the integer factor pairs of -12:

-1, 12

-2, 6

-3, 4

1, -12

2, -6

3, -4

We would like to find a pair whose sum is -4. Inspecting each pair, we realise that only the pair 2, -6 works because 2 + (-6) = -4.

Thus, our factors are:

x + 2    (from the 2)

x - 6     (from the -6)

The factored form of our given quadratic is:

(x + 2)(x - 6)

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