Question

n a word processing document answer the following question. How could you use Descartes' Rule and the Fundamental Theorem of Algebra to predict the number of complex roots to a polynomial, as well as find the number of possible positive and negative real roots to a polynomial? Your response must include: A summary of Descartes' Rule and the Fundamental Theorem of Algebra. This must be in your own words. Two examples of the process Provide two polynomials and predict the number of complex roots for each. You must explain how you found the number of complex roots for each. At least 100 words in complete sentences with appropriate grammar and spelling. Provide the source used for information (i.e. the website, the book etc.). Not providing your source may result in an Academic Integrity violation. Your teacher will use the 2.05b Rubric to grade your assignment. Select 2.05b Rubric to view this rubric. Save your assignment as a word processing document (.doc) or rich text format (.rtf) and submit it as Assessment 2.05b Writing About Polynomials.

Answer 1

I will discuss polynomials. A polynomial can be classified according to the number of expressions that it has in a given equation. A monomial has only one expression having a coefficient (number) and a variable (letter). A binomial has two expressions, same as the definition of the monomial. And a trinomial has three expressions, same as the definition of a monomial. We can determine the degree of a polynomial by looking at the exponents of the given polynomial. If an expression has two variables with different exponents, you can add their exponent to determine their degree.