A specialized sensor measures the displacement D(s)D(s)D(s) of a robotic arm as a function of the system's stress level sss. The displacement is modeled by the function
D(s)=3s3−13s2+17s−15 D(s) = 3s^3 - 13s^2 + 17s - 15 D(s)=3s3−13s2+17s−15Use the factor theorem to prove that (s−3)(s - 3)(s−3) is a factor of D(s)D(s)D(s).
Prove that the graph of the displacement function y=D(s)y = D(s)y=D(s) intersects the sss-axis at exactly one point.
State the coordinates of this point of intersection.
