Problem of the Week

Updated at May 11, 2026 2:25 PM

This week's problem comes from the algebra category.

How would you find the factors of \({t}^{2}-12t+35\)?

Let's begin!



\[{t}^{2}-12t+35\]

1
Ask: Which two numbers add up to \(-12\) and multiply to \(35\)?
\(-7\) and \(-5\)

2
Rewrite the expression using the above.
\[(t-7)(t-5)\]

Done