How do you factor #m^2 - 10m + 24#?

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Answer 1 · 2015-10-11T19:12:39

Look for numbers that you can x to get 24 and add to get -10.

#-6# and #-4# would seem to fit the bill:

#(m-6)(m-4)#

Check by multiplying out#rArr#

#m^2-4m-6m+24#

#=m^2-10m+24#

Which is good.

Answer 2 · 2015-10-11T19:13:23

#m^2-10m+24=(m-4)(m-6)#

#m^2-10m+24#

Determine what two numbers add up to #-10# and multiply to #24#.

The numbers #-4# and #-6# meet the criteria.

#m^2-10m+24=(m-4)(m-6)#