What are the x - and y-intercepts of the graph of y = x2 - 10x + 21?

To solve for the X intercepts make y equal to 0. Then factor the quadratic. It would become (X-7) (X-3) = 0. Solve for x in each case and the X intercepts are (3,0) and (7,0). The y intercept can be determined by making the X variables in the above quadratic equal to 0. The y intercept is 21, or (0,21).