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

Solution:

The x intercepts are obtained by putting y = 0

x² - 10x + 21 = 0 

x² - 7x - 3x + 21 = 0

x(x - 7) - 3(x - 7) = 0

(x - 3)(x - 7) =0

The x intercepts are x = 3; x = 7

The y intercept is obtained by putting x = 0, when x = 0; y = 21. The y intercept is 21.

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

Summary:

The x-intercepts of the graph of y = x² - 10x + 21 are 3 and 7 respectively. The y intercept is 21.