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?

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

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, …

Jan 30, 2021 · If we're now given another point the polynomial has to pass through, that's $5$ points in total for a polynomial that is only of degree $3.$ If you're lucky, the new point happens to be on the …

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.

Oct 2, 2016 · 2 I am trying to find 4th degree polynomial equation from given points. I do not own a graphing calculator so this task is very difficult for me to solve. So far I would out what points I need.

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 …

Oct 14, 2024 · Show that every polynomial in $\Pi_n$ which has more than n complex roots (including their multiplicity) vanishes identically. HINT: Make use of the fundamental theorem of algebra and …

Usually the degree is the highest power with a non-vanishing coefficient. Following this logic it is not really clear what the degree of the zero-polynomial should be. We could just say it has no degree, or …

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 $p$.