6 of 86 of 8 Items Question Solve by factoring. m² + 8m + 7 = 0 (1 point) Responses 8, 7 8, 7 –7, 1 –7, 1 –7, –1 –7, –1 7, 1 7, 1 Skip to navigation
To solve the equation m² + 8m + 7 = 0 by factoring, we need to find two numbers that multiply to 7 and add up to 8. The numbers that fit these criteria are 7 and 1.
Therefore, we can factor the equation as:
(m + 7)(m + 1) = 0
Setting each factor to zero and solving for m, we get:
m + 7 = 0 => m = -7
m + 1 = 0 => m = -1
So, the solutions to the equation m² + 8m + 7 = 0 are m = -7 and m = -1.
The correct response is: -7, -1