Question

How do you factor the expressions `r^2 - 10r + 24`?

Answer 1

`(r-4)(r-6)`

Explanation:

`2xx12=24" and " 2-12 =-10`

but `" "-12xx1!=24" "color(red)("no good!")`
'.........................................

`(-6)xx(-4)=24" and "-6-4=-10" "color(green)(" works!")`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`=>r^2-10r+24 = (r-4)(r-6)`