Finding Zeros of Fourth Degree Polynomial
In this lesson, we learn how to find all the zeros of a fourth degree polynomial by using the fundamental theorem of algebra, linear factorization, and the rational root test. We are also shown how to identify the number of positive and negative real roots using Descartes' rule of signs. Through a step-by-step process, the instructor demonstrates how to factor the polynomial completely and find all the real and rational roots. Overall, this lesson is a valuable resource for those looking to master the process of finding zeros of polynomials.
Find all the zeros of a polynomial to the fourth degree
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- How do I find all the possible rational roots of a fourth degree function?
- How can I find out how many positive real roots and negative real roots a polynomial might have?
- How many roots can a fourth degree equation have?
- How can I use synthetic division to help factor a polynomial?
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Staff Review
This video shows how to find the number of possible rational roots, the number of positive real roots, and the number of negative real roots. It also shows how to use synthetic division to completely factor a fourth degree polynomial and find all the roots.
