Final answer:
The meaning of multiple roots is most easily seen with the concept of polynomial equations, where factors of the equation are repeated, leading to roots that occur more than once. Graphically, these are points where the function touches the x-axis.
Step-by-step explanation:
The concept of multiple roots is seen most easily with the concept of polynomial equations.
Multiply roots, also known as repeated or duplicate roots, occur in polynomials when a factor is repeated. This means that the equation has a solution that repeats two or more times. For example, in a quadratic equation like x^2 - 4x + 4 = 0, the factor (x-2) is repeated, leading to a multiple root at x=2.
Another important aspect of multiple roots is their graphical representation. On a graph, a point where the function touches or crosses the x-axis represents a root. If the graph touches the axis at a point but does not cross it, this typically indicates a multiple root at that x-coordinate.