Answer:
The fully factored form is (m - 7)(m + 2)
Explanation:
In order to factor the equation (or any quadratic equation with a first coefficient of 1), you need to look for factors of the last number (-14) that add up to the middle number (-5). So, start by listing the factors of -14.
1, -14
-1, 14
2, -7
-2, 7
The two numbers that add up to -5 are 2 and -7. We now use these in parenthesis with the variable.
(m - 7)(m + 2)