Problem of the Week

Updated at Nov 18, 2019 4:31 PM

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Mar 31, 2025

For this week we've brought you this algebra problem.

How would you find the factors of $30{v}^{2}+11v-28$ ?

Here are the steps:

30{v}^{2}+11v-28

Split the second term in

30{v}^{2}+11v-28

into two terms.

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

30\times -28=-840

Ask: Which two numbers add up to

11

and multiply to

-840

35

and

-24

Split

11v

as the sum of

35v

and

-24v

30{v}^{2}+35v-24v-28

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30{v}^{2}+35v-24v-28

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

5v(6v+7)-4(6v+7)

Factor out the common term

6v+7

(6v+7)(5v-4)

Done