Answer:
[tex](-5,0)[/tex] and [tex](3,0)[/tex]
Step-by-step explanation:
Think about it.
What two numbers multiply to -15 and add up to 2?
The answers are 5 and -3.
So plug that into the factored form of a parabola.
[tex]y=(x+5)(x-3)[/tex]
To find the x-intercepts, plug in 0 for [tex]y[/tex].
[tex](x+5)(x-3)=0[/tex]
Since we are multiplying, at least one of the terms has to equal 0.
[tex]x+5=0 \\ x-3=0 \\ \\ x=-5,3[/tex]
So the x-intercepts are [tex](-5,0)[/tex] and [tex](3,0)[/tex].
