Answer:
Option A - (-5,0) and (3,0).
Step-by-step explanation:
Given : Function [tex]y=x^2+2x-15[/tex]
To find : What are the x-intercepts of the function ?
Solution :
The x-intercept means when y became zero i.e. y=0,
[tex]x^2+2x-15=0[/tex]
Solve the quadratic equation by middle term split,
[tex]x^2+5x-3x-15=0[/tex]
[tex]x(x+5)-3(x+5)=0[/tex]
[tex](x+5)(x-3)=0[/tex]
[tex]x+5=0,x-3=0[/tex]
[tex]x=-5,x=3[/tex]
The x-intercepts are (-5,0) and (3,0).
Therefore, Option A is correct.
