Problem of the Week

Updated at Aug 19, 2024 4:29 PM

Recent Posts

Mar 31, 2025

To get more practice in algebra, we brought you this problem of the week:

How can we compute the factors of $6{y}^{2}-y-15$ ?

Check out the solution below!

6{y}^{2}-y-15

Split the second term in

6{y}^{2}-y-15

into two terms.

Multiply the coefficient of the first term by the constant term.

6\times -15=-90

Ask: Which two numbers add up to

-1

and multiply to

-90

9

and

-10

Split

-y

as the sum of

9y

and

-10y

6{y}^{2}+9y-10y-15

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

6{y}^{2}+9y-10y-15

Factor out common terms in the first two terms, then in the last two terms.

3y(2y+3)-5(2y+3)

Factor out the common term

2y+3

(2y+3)(3y-5)

Done