Factor the polynomial. \[ m^{2}-20 m+100 \]

To factor the polynomial \( m^{2}-20 m+100 \), we need to look for two numbers that multiply to 100 (the constant term) and add up to -20 (the coefficient of the linear term). The numbers that satisfy this condition are -10 and -10. Therefore, we can write the polynomial as: \[ (m - 10)(m - 10) \text{ or } (m - 10)^{2} \] So, the factored form of the polynomial is \( (m - 10)^{2} \).