What are the x- and y-intercepts of the graph of y = x² +3x-10?

Solution:

It is given that

y = x² + 3x -10

The x intercept can be found by considering y value as 0

x² + 3x -10 = 0

By splitting the middle term,

x² - 2x + 5x - 10 = 0

Taking the common terms out. we get

x (x - 2) + 5 (x - 2) = 0

(x - 2) (x + 5) = 0

So we get

x = 2 and x = -5

The y intercept can be found by considering x value as 0

y = 0² +3(0)-10

y = - 10

Therefore, the x intercepts are (2, 0) and (-5, 0) and the y-intercepts are (0, -10).

What are the x- and y-intercepts of the graph of y = x² +3x-10?

Summary:

The x- and y-intercepts of the graph of y = x² + 3x -10 are (2, 0), (-5, 0) and (0, -10).