Final answer:
The Factored Form of a polynomial allows us to easily identify key features such as the x-intercepts, the degree of the polynomial, and the behavior of the graph near those x-intercepts.
Step-by-step explanation:
The Factored Form of a polynomial allows us to easily identify key features such as the x-intercepts, the degree of the polynomial, and the behavior of the graph near those x-intercepts.
For example, if we have a polynomial in factored form as (x - 3)(x + 2)(x - 1), we can immediately see that the x-intercepts are at x = 3, x = -2, and x = 1. We can also determine that the polynomial is of degree 3, as the highest power of x is 3. Additionally, we can analyze the signs of each factor to determine the end behavior of the graph.
In conclusion, the Factored Form of a polynomial provides a simplified representation that allows us to easily find important information about the polynomial and its graph.