Question

select the correct answer.

which expression shows the factors of $2y^2 - 2y - 4$
a. $2(y - 2)(y - 1)$
b. $2(y - 2)(y + 1)$
c. $2(y - 1)(y - 2)$
d. $2(y - 1)(y + 2)$

Explanation:

Step1: Factor out the GCF

Factor out 2 from the quadratic:
$2(y^2 - y - 2)$

Step2: Factor the quadratic trinomial

Find two numbers that multiply to $-2$ and add to $-1$ (these numbers are $-2$ and $1$), then factor:
$2(y - 2)(y + 1)$

Step3: Match with options

Compare the result to the given choices.

Answer:

B. $2(y - 2)(y + 1)$