Find the x intercepts of $y = 3 x ^ { 2 } - 11 x - 4$ . Separate answers with a comma.
A) no x intercepts
B) $- \frac { 1 } { 3 }$ , $- 4$
C) $- \frac { 1 } { 3 }$ , 4
D) $\frac { 1 } { 3 }$ , 4

Question

Quizplus · Accepted Answer

To find the x-intercepts, we need to set y to zero and solve for x:
$$0=3x^2-11x-4$$
This can be factored as
$$(3x+1)(x-4)=0$$
Setting each factor equal to zero, we get $3x+1=0$ and $x-4=0$. Solving for x in each case, we get $x=-\frac{1}{3}$ and $x=4$, respectively. Therefore, the x-intercepts are at $x=-\frac{1}{3}$ and $x=4$. Thus, the correct choice is C.

Find the X Intercepts Of y=3x2−11x−4y = 3 x ^ { 2 } - 11 x - 4y=3x2−11x−4

Find the X Intercepts Of $y = 3 x ^ { 2 } - 11 x - 4$