We can factor the equation using grouping.
Factor both halves of the equation.
Both groups have a factor of (x+1). We can use the distributive property to find the other factor. That is, ac + bc = (a+b)(c).
So our final factored form is:
Now let's find the roots of the equation. These are the x values where the graph crosses the x axis. To do this, set both factors equal to zero and solve for x.
This factor does not produce any rational roots because taking the square root of a negative number results in a complex number.
So the equation hass one root of x = -1. This means that the graph should cross the x axis at x = -1. Therefore the last picture is the correct graph. Hope this helps!