To determine if the student is correct, we can multiply out their factored form to see if it equals the original expression.
(m-12)(m+2) = m^2 + 2m - 12m - 24
= m^2 - 10m - 24
Since the product of (m-12)(m+2) is not equal to the original expression m^2-10m+24, the student is incorrect. The factored form of m^2-10m+24 should be (m-4)(m-6), which can be easily verified by multiplying out the factors to get the original expression.
A student said the factors of m^2-10m+24 are (m-12)(m+2). Is the student correct? Justify and explain your answer.
1 answer