Question

What are the factors of m2 – 12m + 20?

Answer 1

the factors of this trinominal would be
m-10 & m-2

Answer 2

Factor of
`m^(2)-12m+20` is
`=\left(m-2\right)\left(m-10\right)`

Explanation:

We need to find the factors of
`m^(2)-12m+20`

`\mathrm{Break\:the\:expression\:into\:groups}`

`=\left(m^2-2m\right)+\left(-10m+20\right)`

`\mathrm{Factor\:out\:}m\mathrm{\:from\:}m^2-2m\mathrm{:\quad }m\left(m-2\right)\\`

`\mathrm{Factor\:out\:}-10\mathrm{\:from\:}-10x+20\mathrm{:\quad }-10\left(m-2\right)`

`=m\left(m-2\right)-10\left(m-2\right)`

`=\left(m-2\right)\left(m-10\right)`

Hence, factor of
`m^(2)-12m+20` is
`=\left(m-2\right)\left(m-10\right)`