How do you factor #10m^3+2m^2-36m#?

Question

1653 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-10T11:41:05

See a solution process below:

First, factor a common term of #2m# out of each individual term:

#(2m * 5m^2) + (2m * m) - (2m * 18) =>#

#2m(5m^2 + m - 18)#

Next, factor the quadratic as:

#2m(5m - 9)(m + 2)#

Answer 2 · 2018-03-10T11:46:33

# 2m(m+2)(5m-9)#

#10m^3+2 m^2-36m =2m(5m^2+m-18)#

# =2m(5m^2+10m-9m-18)#

# =2m{5m(m+2)-9(m+2)}#

# =2m(m+2)(5m-9)# [ Ans]