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 solve by factoring, we need to find two numbers that multiply to 7 (the constant term) and add up to 8 (the coefficient of the linear term).
The two numbers that satisfy this condition are 7 and 1.
Therefore, factoring the expression m^2 + 8m + 7 = 0, we get:
(m + 7)(m + 1) = 0
Setting each factor to zero gives us:
m + 7 = 0 and m + 1 = 0
Solving these equations, we get:
m = -7 and m = -1
Therefore, the solutions are m = -7 and m = -1.
So, the correct response is: –7, –1.