Question

The factors of x2 + x – 12​

Answer 1

Answer:

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

Step-by-step 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 $(x+4)$:  $(x-3)(x+4)$