Question 382653
x-intercepts can be found by setting y=0, and y-intercepts are when x=0.
The y-intercept is easier to find: {{{f(0)=5*0^2-38*0+21=21}}}, so the y-intercept is 21.
To find the x-intercepts: {{{0=5x^2-38x+21}}}.  We can solve by factoring: {{{0=(5x-3)(x-7)}}}.  If two things multiply to 0, one of them must be equal to 0.  Thus, either {{{5x-3=0}}} or {{{x-7=0}}}.  To solve the first equation, add 3 to both sides then divide by 5, so {{{x=3/5}}}.  To solve the second, add 7 to both sides and get {{{x=7}}}.  This means your x-intercepts are 3/5 and 7.