Question

question
factor completely.
$2x^3 - 7x^2 + 50x - 175$
answer attempt 1 out of 3

Explanation:

Step1: Group terms in pairs

Group the first two and last two terms:
$(2x^3 - 7x^2) + (50x - 175)$

Step2: Factor out GCF from each group

Factor $x^2$ from first group, 25 from second:
$x^2(2x - 7) + 25(2x - 7)$

Step3: Factor out common binomial

Factor out $(2x - 7)$ from both terms:
$(2x - 7)(x^2 + 25)$

Answer:

$(2x - 7)(x^2 + 25)$