Final answer:
To find the factored equation of a polynomial with a degree of 4, determine the roots and write the equation in factored form using the roots as factors.
Step-by-step explanation:
To find the factored equation of a polynomial with a degree of 4, you need to first determine the roots of the polynomial. Then you can write the equation in factored form by using the roots as factors of the polynomial.
1. Use the quadratic formula or factoring techniques to find the roots of the polynomial.
2. Once you have the roots, write the equation in factored form by multiplying the factors together.
For example, if the roots are x=2, x=-3, and x=5, the factored equation would be (x-2)(x+3)(x-5)=0.