question\nfactor.\n$x^{2}-3x - 4$

Explanation:

Step1: Find two numbers

We need two numbers that multiply to -4 and add up to -3. The numbers are -4 and 1 since $(-4)\times1=-4$ and $-4 + 1=-3$.

Step2: Rewrite the middle - term

Rewrite $-3x$ as $-4x+x$. So, $x^{2}-3x - 4=x^{2}-4x+x - 4$.

Step3: Group the terms

Group the terms: $(x^{2}-4x)+(x - 4)$.

Step4: Factor out the common factors from each group

Factor out $x$ from the first group and 1 from the second group: $x(x - 4)+1(x - 4)$.

Step5: Factor out the common binomial factor

Factor out $(x - 4)$: $(x - 4)(x+1)$.

Answer:

$(x - 4)(x + 1)$