Question

What are the x-intercepts of the graph below of the function below y=x^2+2x-15

Answer 1

Answer is A............

Answer 2

Option A - (-5,0) and (3,0).

Explanation:

Given : Function
`y=x^2+2x-15`

To find : What are the x-intercepts of the function ?

Solution :

The x-intercept means when y became zero i.e. y=0,

`x^2+2x-15=0`

Solve the quadratic equation by middle term split,

`x^2+5x-3x-15=0`

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

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

`x+5=0,x-3=0`

`x=-5,x=3`

The x-intercepts are (-5,0) and (3,0).

Therefore, Option A is correct.