We have been given a graph of a upward opening parabola. We are asked to find the factors of given parabola.
We can see from our given graph that zeros of our equation are [tex]x=-2[/tex] and [tex]x=5[/tex].
We know that when [tex]x=a[/tex] is a zero of a polynomial, then [tex](x-a)[/tex] is factor of the polynomial.
Let us find factors of our given function.
[tex]x+2=-2+2[/tex]
[tex]x+2=0[/tex]
Therefore, [tex](x+2)[/tex] is a factor of our given function.
[tex]x-5=5-5[/tex]
[tex]x-5=0[/tex]
Therefore, [tex](x-5)[/tex] is a factor of our given function and option D is the correct choice.
