Question

Find the factors of (x² – x – 6). 

1. (x – 5)(x – 1)
2. (x + 5)(x – 1)
3. (x – 2)(x – 3)
4. (x + 2)(x – 3)

Answer 1

Correct Answer - Option 4 : (x + 2)(x – 3)

Given:

(x² – x – 6)

Calculations:

Using the given data,

⇒ (x² – x – 6) = (x² – 3x + 2x – 6)

⇒ x(x – 3) + 2(x – 3)

⇒ (x + 2)(x – 3)

∴ The factors of (x² – x – 6) are (x + 2)(x – 3)