Solve by factoring. m² + 8m + 7 = 0 (1 point) Responses 8, 7 8, 7 –7, 1 –7, 1 –7, –1 –7, –1 7, 1
To factor the quadratic equation, we need to find two numbers whose product is 7 and whose sum is 8.
The two numbers that satisfy this condition are 7 and 1, so we can factor the equation as:
(m + 7)(m + 1) = 0
Setting each factor equal to zero gives us the solutions:
m + 7 = 0 or m + 1 = 0
Solving these equations gives us:
m = -7 or m = -1
So the correct responses are:
-7, -1