Question

factor by grouping.
$x^2 - 3x + 2x - 6$
$(x - ?)(x + )$

Explanation:

Step1: Group terms into pairs

Group first two and last two terms:
$(x^2 - 3x) + (2x - 6)$

Step2: Factor out GCF from each pair

Factor $x$ from first group, $2$ from second:
$x(x - 3) + 2(x - 3)$

Step3: Factor out common binomial

Factor $(x - 3)$ from both terms:
$(x - 3)(x + 2)$

Answer:

The missing values are 3 and 2, so the fully factored form is $(x - 3)(x + 2)$