Question

The factors of x2 + x – 12​

Answer 1

`x^2+x-12=(x-3)(x+4)`

Explanation:

To factor
`x^2+x-12`

Find factors of -12 that have a sum of 1.

Factors of -12: 1 and -12, 2 and -6, 3 and -4, 3 and -3, 6 and -2, 12 and -1

Factors of -12 that have a sum of 1: -3 and 4

Therefore,
`x^2+x-12=x^2+4x-3x-12`

Factor:
`x(x+4) -3(x+4)`

Factor out common term
`(x+4)`:
`(x-3)(x+4)`