Artificial intelligent assistant

trinomial

answer Answers

ProphetesAI is thinking...

MindMap

Sources

1
trinomial
trinomial, a. and n. (traɪˈnəʊmɪəl) [Formed with tri- after binomial, q.v.] A. adj. 1. Math. Consisting of three terms, as an algebraical expression.1704 J. Harris Lex. Techn. I, Trinomial-Root, in Mathematicks, is a Root consisting of three parts connected together by the Sign +; as a + b + c. See ... Oxford English Dictionary
prophetes.ai 0.0 3.0 0.0
2
Trinomial
Trinomial equation A trinomial equation is a polynomial equation involving three terms. Some notable trinomials The quadratic trinomial in standard form (as from above): sum or difference of two cubes: A special type of trinomial wikipedia.org
en.wikipedia.org 0.0 1.5 0.0
3
Perfect Square Trinomial - Definition, Factorization & Examples - ChiliMath
A perfect square trinomial can be factored out as binomial multiplied to itself. That means we can write a perfect square trinomial as a square of a binomial. First, let's expand a binomial to see if we can observe a pattern. Notice that the first and the last terms are perfect squares. The middle term is twice the product of the terms that ...
www.chilimath.com 0.0 0.90000004 0.0
4
Trinomial tree
For exotic options the trinomial model (or adaptations) is sometimes more stable and accurate, regardless of step-size. Pricing Options Using Trinomial Trees, University of Warwick Tero Haahtela, 2010. wikipedia.org
en.wikipedia.org 0.0 0.6 0.0
5
Showing a trinomial is always positive I have a trinomial of the form $$ax^2+2bxy+cy^2$$ where $x,y$ are non-zero from $\mathbb{R}$. I want to show that $ax^2+2bxy+cy^2>0$ **if and only if** $a>0$ and $ac-b^2$<0
I will only show the if part. Let $z = ax^2 + 2bxy + cy^2$. Dividing all the terms by $y^2$, we get $\dfrac {z}{y^2} = a(\dfrac {x}{y})^2 + 2b(\dfrac xy) + c$. If we let $X = \dfrac {x}{y}$ and $Y = \dfrac {z}{y^2}$, then we are treating the curve of $Y = aX^2 + 2bX + c$. $a>0$ means the curve is op...
prophetes.ai 0.0 0.6 0.0
6
Trinomial triangle
The trinomial triangle is a variation of Pascal's triangle. known as central trinomial coefficients. wikipedia.org
en.wikipedia.org 0.0 0.3 0.0
7
Remainder of trinomial What will be the remainder if I divide $(a+b+c)^{333}-a^{333}-b^{333}-c^{333}$ by $(a+b+c)^3-a^3-b^3-c^3$. I have tried trinomial expention. But its still too big for long division. Is there a s...
Since $$(a+b+c)^3-a^3-b^3-c^3=3(a+b)(a+c)(b+c)$$ and $$(a+b+c)^{333}-a^{333}-b^{333}-c^{333}=0$$ for $a=-b$, for $a=-c$, for $b=-c$ and $(a+b+c)^{333}-a^{333}-b^{333}-c^{333}$ is divided by $3$, we obtain that the remainder is $0$.
prophetes.ai 0.0 0.3 0.0
8
Smithsonian trinomial
A Smithsonian trinomial (formally the Smithsonian Institution Trinomial System, abbreviated SITS) is a unique identifier assigned to archaeological sites Some states use variations of the trinomial system. wikipedia.org
en.wikipedia.org 0.0 0.3 0.0
9
Solution for trinomial divided by binomial equation I have the following equation to solve. I know that the answer is -5, I made several attempts at this, and arrive at a different answer. My first thought was to fact...
$$\frac{x^2 + x -2}{x+3} ={-9}$$ $$x^2+x-2=-9x-27$$ $$x^2+10x +25 = 0$$ now use the quadratic equation $x = \dfrac{-B \pm \sqrt{B^2-4AC}}{2A}$ and you get the result $x=-5$
prophetes.ai 0.0 0.3 0.0
10
Trinomial nomenclature
In biology, trinomial nomenclature refers to names for taxa below the rank of species. These names have three parts. However, a name is not the same as a classification, and the name of this plant is a trinomial with only three parts, the two parts of the species name wikipedia.org
en.wikipedia.org 0.0 0.3 0.0
11
Trinomial expansion variation - generalize? One may represent $(1+x+x^2)^k$ = $\sum_{\ell=0}^{2k}\begin{pmatrix}k\\\l-k\end{pmatrix}_2x^\ell$, where $()_2$ is the trinomial coefficient. Any one with experience how to ...
${ \bf Edit}$: A little searching allowed me to find $$ (a+b+c)^n = \sum_{i+j+k=n} \frac{ n!}{i!j!k!} a^i b^j c^k $$ Thus $$ ( x^2/2 + x +1)^n = \sum_{i+j+k=n} \frac{ n!}{2^i i!j!k!} x^{2i+j}$$ ${ \bf Original Post}$: You can use the regular binomial theorem to obtain this. Factor the quadratic into...
prophetes.ai 0.0 0.0 0.0
12
Trinomial coefficient
Trinomial coefficient may refer to: coefficients in the trinomial expansion of (a + b + c)n. coefficients in the trinomial triangle and expansion of (x2 + x + 1)n. wikipedia.org
en.wikipedia.org 0.0 0.0 0.0
13
Identify perfect square trinomial I've read the definition perfect square for numbers, that is a number is a perfect square if it is the product of two equal integers. Now I'm studying perfect square trinomial so I'm...
Similarly, a trinomial is a _polynomial_ with three terms, and a perfect square trinomial is a trinomial that is equal to the square of a binomial. But $x^2 + 4\sqrt{x} + 4$ is not even a trinomial, because of the $\sqrt{x}.$
prophetes.ai 0.0 0.0 0.0
14
Elkies trinomial curves
In number theory, the Elkies trinomial curves are certain hyperelliptic curves constructed by Noam Elkies which have the property that rational points on them correspond to trinomial polynomials giving an extension of Q with particular Galois groups. wikipedia.org
en.wikipedia.org 0.0 0.0 0.0
15
How to factor the trinomial : $ xy-x+y-1$? How to factor the trinomial : $ xy-x+y-1$ ? The factorization is $(x+1)(y-1) $ but I don't where it comes from.
$$xy-x+y-1=\color{green}{x}\cdot\color{red}{(y-1)}\color{green}{+1}\cdot\color{red}{(y-1)}=\color{green}{(x+1)}\color{red}{(y-1)}$$ Or $$xy-x+y-1=xy+y-x-1=\color{red}{(x+1)}\cdot \color{green}{y}+\color{red}{(x+1)}\cdot\color{green}{-1}=\color{red}{(x+1)}\color{green}{(y-1)}$$
prophetes.ai 0.0 0.0 0.0