For this case we must factor the following expression:
[tex]x ^ 2 + 3x-4[/tex]
To factor, we must find two numbers that when added together result in +3. And when multiplied, give -4 as a result.
Those numbers are +4 and -1, then:
[tex]+ 4-1 = + 3\\+4 * (- 1) = - 4[/tex]
Thus, the factorization remains:
[tex](x + 4) (x-1)[/tex]
We check applying distributive property, then:
[tex]x ^ 2-x + 4x-4 = x ^ 2 + 3x-4[/tex]
Answer:
[tex](x + 4) (x-1)[/tex]
Option C
