6. Solve by factoring. m² + 8m + 7 = 0 (1 point)8, 7
–7, 1
*–7, –1
7, 1
7. Solve by factoring. n² + 2n – 24 = 0 (1 point)–12, 2
–2, 12
*–6, 4
–4, 6
Please Help
Lesson 4 Factoring to solve Quadratic Equations.
1.B (1,3)
2.A Maximum
3.A 3
4.C 42 feet
5.D 11,-11
6.C -7,-1
7.C -6,4
8.A 3.33 ft
(6) m = -7, -1
(7) n = -6 , 4
K is right
this doesn't even help me. #6 doesn't show any steps
K youre a real one ty
To solve quadratic equations by factoring, follow these steps:
1. Write the equation in the form of ax^2 + bx + c = 0, where a, b, and c are coefficients.
For the first equation, m² + 8m + 7 = 0, the coefficients are:
a = 1
b = 8
c = 7
For the second equation, n² + 2n - 24 = 0, the coefficients are:
a = 1
b = 2
c = -24
2. Factor the quadratic expression.
For the first equation, m² + 8m + 7 = 0, let's find two numbers that, when multiplied, equal 7 and when added, equal 8. The numbers that satisfy this condition are 1 and 7. So, we can factor the equation as: (m + 1)(m + 7) = 0.
For the second equation, n² + 2n - 24 = 0, let's find two numbers that, when multiplied, equal -24 and when added, equal 2. The numbers that satisfy this condition are -4 and 6. So, we can factor the equation as: (n - 4)(n + 6) = 0.
3. Set each factor equal to zero and solve for the variable.
For the first equation, (m + 1)(m + 7) = 0, we set each factor equal to zero:
m + 1 = 0 or m + 7 = 0
m = -1 or m = -7
So, the solutions to the first equation are m = -1 and m = -7.
For the second equation, (n - 4)(n + 6) = 0, we set each factor equal to zero:
n - 4 = 0 or n + 6 = 0
n = 4 or n = -6
So, the solutions to the second equation are n = 4 and n = -6.
Therefore, the correct answers are:
For the first equation: –7, –1
For the second equation: –4, 6