Question

How are the Fundamental Theorem of Algebra, Rational Root Theorem, Descartes Rule of Signs and Remainder Theorem used to solve Polynomial functions?

Answer 1

@Englishguy

Answer 2

Sorry, math isn't my strong suit

Answer 3

understandable

Answer 4

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with an imaginary part equal to zero.

Answer 5

1. Shows u the number of roots for a polynomial
"Any polynomial of degree n ... has n roots
but we may need to use complex numbers"

2. just a logical rule, lists the possible roots... also tells u where the zeroes are.
A theorem that provides a complete list of possible rational roots of the polynomial equation anxn + an–1xn–1 + ··· + a2x2 + a1x + a0 = 0 where all coefficients are integers.

3.Descartes' Rule of Signs will tell you how many roots you can expect.

4. im terrible at remainder theorum and synthetic division.... @dan815 can u explain this one?