Final answer:
To plot the roots of a polynomial in the s-plane, solve the polynomial equation to find the roots and then plot them as points on the complex plane.
Step-by-step explanation:
In mathematics, the roots of a polynomial can be plotted on the complex plane, also known as the s-plane. The s-plane represents the complex numbers in the form s = a + bi, where a and b are real numbers and i is the imaginary unit.
To plot the roots of a polynomial in the s-plane, we first find the roots by solving the polynomial equation. For example, for a quadratic polynomial ax^2 + bx + c, the roots can be found using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Once we have the roots, we can plot them on the complex plane by representing each root as a point with coordinates (a, b).