Use factoring to solve the equation
-$$3 x ^ { 2 } - 23 x = 8$$
A) $- \frac { 1 } { 3 } , 8$
B) $- 3,8$
C)$ - \frac { 1 } { 8 } , - 3$
D) $- \frac { 1 } { 8 } , 3$

Question

Quizplus · Accepted Answer

First, rewrite the equation in standard form: $3x^2 - 23x - 8 = 0$. Factoring this quadratic equation, we find the factors that multiply to $3 \times -8 = -24$ and add to $-23$, which are $-24$ and $1$. However, due to the coefficients, we need to factor by grouping or use the quadratic formula. The correct factorization is $(3x + 1)(x - 8) = 0$, leading to the solutions $x = -\frac{1}{3}$ and $x = 8$.

Use Factoring to Solve the Equation - 3x2−23x=83 x ^ { 2 } - 23 x = 83x2−23x=8

Use Factoring to Solve the Equation
- $3 x ^ { 2 } - 23 x = 8$