At which root does the graph of f (x) = (x - 5) (x + 2) 2 touch the x-axis?

To find the roots of a factored function, set each factor equal to 0. x-5=0, x+2=0, and 2=0. x = 5, x = - 2, and x = no solution (2 does not equal 0, so there is not a root at 2). So your final answer is at x = 5 and x = - 2.