F(x) = x2 + 2x – 15. What are the x-intercepts of the function?

X-intercepts at x = -5 and x = 3

Step-by-step explanation:

To solve this, you first need to know that x-intercepts occurs at the "zeros" of the function. In other words, the x-values you get when you make y (aka f(x)) equal 0. If you don't like to look at the function and do logical factoring, you can always rely on the quadratic formula too; it will never lead you wrong. For me I just did logical factoring in my head and got (x+5)(x-3). The last step, because remember this is set equal to zero, is to get the x-values x = -5 and x = 3. Hope this helps!

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2