Question

home > math 124e-spring2026-friedrich > ass
hw sec. cr.7
score: 2/10 2/10 answered
question 3
factor the following trinomial.
$2a^{2}-3a+1=$
question help: video ebook

Explanation:

Step1: Split middle term

Find two terms that multiply to $2\times1=2$ and add to $-3$. These terms are $-2a$ and $-a$.
$2a^2 - 2a - a + 1$

Step2: Group terms

Group first two and last two terms.
$(2a^2 - 2a) + (-a + 1)$

Step3: Factor out GCFs

Factor GCF from each group.
$2a(a - 1) - 1(a - 1)$

Step4: Factor common binomial

Factor out $(a-1)$ from both terms.
$(2a - 1)(a - 1)$

Answer:

$(2a - 1)(a - 1)$