Question

What are the x- intercepts of the graph that represents y=(x+1)(x+5)

Answer 1

x= -1 and x= -5

Explanation

y=(x+1)(x+5)

set both equations equal to 0

x+1=0 and x+5=0

subtract each constant from the appropriate side

x= -1 x=-5

Answer 2

Final answer:

The x-intercepts of the equation y=(x+1)(x+5) are the points where the graph crosses the x-axis, occurring at x = -1 and x = -5.

Step-by-step explanation:

The x-intercepts of a graph represent the points where the graph crosses the x-axis, which occurs when the y-value is zero. For the given equation y = (x+1)(x+5), to find the x-intercepts, we set y to zero and solve for x:

0 = (x+1)(x+5)

x+1 = 0 or x+5 = 0

x = -1 or x = -5

Therefore, the x-intercepts of the graph representing the equation y = (x+1)(x+5) are at x = -1 and x = -5.