Solve by factoring. m² + 8m + 7 = 0 (1 point) Responses 8, 7 –7, 1 –7, 1 –7, –1 –7, –1 7, 1
To solve this equation by factoring, we need to find two numbers that multiply to 7 (coefficient of the constant term) and add up to 8 (coefficient of the middle term).
The two numbers that satisfy these conditions are 7 and 1.
Therefore, the factored form of the equation is:
(m + 7)(m + 1) = 0
Setting each factor to zero:
m + 7 = 0 or m + 1 = 0
Solving for m:
m = -7 or m = -1
Therefore, the solutions are m = -7 and m = -1.