Answer:
[tex]x^2+x-12=(x-3)(x+4)[/tex]
Step-by-step explanation:
To factor [tex]x^2+x-12[/tex]
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, [tex]x^2+x-12=x^2+4x-3x-12[/tex]
Factor: [tex]x(x+4) -3(x+4)[/tex]
Factor out common term [tex](x+4)[/tex]: [tex](x-3)(x+4)[/tex]
