Find the x-intercepts.
-$$f ( x ) = 2 x ^ { 2 } - 13 x - 45$$
A) $x$-intercepts $( 9,0 )$ and $\left( \frac { 5 } { 2 } , 0 \right)$
B) No x-intercepts
C) x-intercepts $( 9,0 )$ and $\left( - \frac { 5 } { 2 } , 0 \right)$
D) $x$-intercepts $( - 5,0 )$ and $\left( \frac { 9 } { 2 } , 0 \right)$

Question

Quizplus · Accepted Answer

To find the x-intercepts, we set f(x) to zero and solve for x:
\begin{align*}
2x^2-13x-45&=0\
(2x+9)(x-5)&=0
\end{align*}
This gives us two solutions: $x=-\frac{9}{2}$ and $x=5$. Therefore, the x-intercepts are $\left(-\frac{5}{2},0ight)$ and $(9,0)$. The correct choice is C.

Find the X-Intercepts f(x)=2x2−13x−45f ( x ) = 2 x ^ { 2 } - 13 x - 45f(x)=2x2−13x−45

Find the X-Intercepts $f ( x ) = 2 x ^ { 2 } - 13 x - 45$