For the parabola $y=2x^2-7x+3$:  

1. Give the coordinates of the $y$-intercept.

   Answer (a):

   $\left(0,3\right)$

2. Give the coordinates of the two $x$-intercepts. Explain how you found them.

   Partial Answer (b):

   One of the intercepts is $\left(3,0\right)$. Find the other $x$-intercept.