A student said the factors of m^2 - 10m +24 are (m-12)(m+2). Is the student correct? Justify and explain your answer.

Yes, the student is correct. The factors of m^2 - 10m +24 can be found by using the quadratic formula. The two factors are (m-12)(m+2). This can be verified by multiplying (m-12)(m+2) to get m^2 - 10m +24.