Answer:
[tex]\large\boxed{B)\ 2\frac{1}{2},\ -1}[/tex]
Step-by-step explanation:
x-intercepts are for y = 0.
We have the equation:
[tex]y=2x^2-3x-5[/tex]
Therefore
[tex]2x^2-3x-5=0\\\\2x^2+2x-5x-5=0\\\\2x(x+1)-5(x+1)=0\\\\(x+1)(2x-5)+0\iff x+1=0\ \vee\ 2x-5=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\\boxed{x=-1}\\\\2x-5=0\qquad\text{add 5 to both sides}\\2x=5\qquad\text{divide both sides by 2}\\\boxed{x=2\frac{1}{2}}[/tex]
