Aug 14, 2019 · I used the term "order" in place of "degree" to define a polynomial. Are the terms "degree" and "order" of a polynomial the same in algebra?

Jul 28, 2010 · 149 There is, in fact, a general formula for solving quartic (4th degree polynomial) equations. As the cubic formula is significantly more complex than the quadratic formula, the quartic …

Multiplying by a (non-zero) scalar doesn't change the degree of a polynomial; the degree of $4p (x)$ is the same as the degree of $p (x)$ for any polynomial $p$.

May 23, 2016 · Well, for example: the degree of the product of two nonzero polynomials is the sum of the degrees of the factors. If you want to extend this to include the possibility that the factors be zero, …

Hilbert's 13th problem was to solve a degree-7 polynomial using functions of two variables. Vladimir Arnold solved it in 1957.

Nov 3, 2019 · The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity). This is not the same as saying it has at most n roots.

The degree of irreducible polynomials over the reals is either one or two. Is it possible to prove it without using complex numbers? Or without using fundamental theorem of algebra?

Apr 26, 2016 · How to factorize a 4th degree polynomial? Ask Question Asked 9 years, 10 months ago Modified 9 years, 9 months ago

What do you mean by the line Each $\frac1 {1-t^k}=1+t^k+t^ {2k}+\cdots $ factor represents the choice of how many copies of a particular irreducible polynomial of degree k to include

Oct 29, 2018 · The answer strictly depends on what field you have the polynomial defined on: in complex numbers C C, the only irreducible polynomials are the linear ones, for C C is algebraic …