we have that
[tex] f(x) =x^{2} + x - 9 [/tex]
Using a graph tool
see the attached figure
The function represent a vertical parabola that open up
the vertex is a minimum-------> is the point [tex] (-0.5,-9.3) [/tex]
The x-intercepts are the points when the y coordinate is equal to zero
The x-intercepts are the points [tex] (-3.5,0) [/tex] and [tex] (2.5,0) [/tex]
so
the function cross the negative x-axis at point [tex] (-3.5,0) [/tex]
therefore
the answer is
(–4, 0) and (–3, 0)
