Question

question
factor.
$x^2 + 4x - 60$

Explanation:

Step1: Find two terms for splitting

We need two numbers that multiply to $-60$ and add to $4$. These numbers are $10$ and $-6$.

Step2: Split the middle term

Rewrite the quadratic by splitting $4x$:
$x^2 + 10x - 6x - 60$

Step3: Factor by grouping

Group the first two and last two terms, then factor out common terms:
$x(x + 10) - 6(x + 10)$

Step4: Factor out the common binomial

Factor out $(x + 10)$ from both terms:
$(x + 10)(x - 6)$

Answer:

$(x + 10)(x - 6)$