Problem of the Week

Updated at Jul 1, 2024 2:09 PM

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Apr 7, 2025

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

How can we factor $35{m}^{2}-11m-6$ ?

Check out the solution below!

35{m}^{2}-11m-6

Split the second term in

35{m}^{2}-11m-6

into two terms.

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

35\times -6=-210

Ask: Which two numbers add up to

-11

and multiply to

-210

10

and

-21

Split

-11m

as the sum of

10m

and

-21m

35{m}^{2}+10m-21m-6

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35{m}^{2}+10m-21m-6

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

5m(7m+2)-3(7m+2)

Factor out the common term

7m+2

(7m+2)(5m-3)

Done