Question

$x^2 + 7x - 30$

Explanation:

Step1: Identify factors of -30

Find two numbers that multiply to $-30$ and add to $7$: $10$ and $-3$.

Step2: Split middle term

Rewrite $7x$ as $10x - 3x$:
$x^2 + 10x - 3x - 30$

Step3: Factor by grouping

Group first/last two terms and factor:
$x(x + 10) - 3(x + 10)$

Step4: Extract common binomial

Factor out $(x + 10)$:
$(x + 10)(x - 3)$

Answer:

$(x + 10)(x - 3)$