Question

question
factor completely.
$2x^{2}-13x-7$

Explanation:

Step1: Find product of first/last terms

$2 \times (-7) = -14$

Step2: Split middle term

Find two numbers that multiply to -14 and add to -13: -14 and 1.
$2x^2 -14x + x -7$

Step3: Group and factor pairs

Group first two/last two terms:
$(2x^2 -14x) + (x -7)$
Factor out GCFs:
$2x(x -7) + 1(x -7)$

Step4: Factor common binomial

Factor out $(x-7)$ from both terms:
$(2x + 1)(x -7)$

Answer:

$(2x + 1)(x - 7)$