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

Answer:

Factor of [tex]m^{2}-12m+20[/tex] is [tex]=\left(m-2\right)\left(m-10\right)[/tex]

Step-by-step explanation:

We need to find the factors of [tex]m^{2}-12m+20[/tex]

[tex]\mathrm{Break\:the\:expression\:into\:groups}[/tex]

[tex]=\left(m^2-2m\right)+\left(-10m+20\right)[/tex]

[tex]\mathrm{Factor\:out\:}m\mathrm{\:from\:}m^2-2m\mathrm{:\quad }m\left(m-2\right)\\[/tex]

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

[tex]=m\left(m-2\right)-10\left(m-2\right)[/tex]

[tex]=\left(m-2\right)\left(m-10\right)[/tex]

Hence, factor of [tex]m^{2}-12m+20[/tex] is [tex]=\left(m-2\right)\left(m-10\right)[/tex]