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

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Answer 1 · 2016-05-19T20:31:56

$(r-4)(r-6)$

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

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

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

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

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