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

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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]

How do you factor 10m^3+2m^2-36m10m^3+2m^2-36m?