Find the x-intercepts, if any. Express the intercept(s) as ordered pair(s).

Question

Find the x-intercepts, if any. Express the intercept(s) as ordered pair(s).

r(x)=x²+8x+15

How many x-intercepts does this function have?

Answer 1

The curve intercepts the y-axis when the y coordinate is zero. To find the coordinates of the x-intercepts you need to solve:

0 = x2+ 8x + 15

factoring

0 = (x + 5)(x + 3)

this is true if either x+5 = 0 or x+3 = 0 or when x = -5 or x = -3

so coordinates of the x-intercepts are (-3,0) and (-5,0).