(Polynomial equations with integer coefficients are also known as Diophantine equations.) Probably the most famous of these equations is the subject of Fermat’s Last Theorem: xk + yk = zk, for k>2.

First, we need to find which number when substituted into the equation will give the answer zero. \(f(1) = {(1)^3} + 4{(1)^2} + (1) - 6 = 0\) Therefore \((x - 1)\)is ...

What type of roots the equation has can be shown by the discriminant. The discriminant for a quadratic equation \(a{x^2} + bx + c = 0\) is \({b^2} - 4ac\). And the types of root the equation has ...

Get here the latest and detailed syllabus of CBSE Class 9 Mathematics to plan your studies effectively for the exams in ...

How useful is Bernoulli's equation? How restrictive are the assumptions governing its use? Here we give some examples. Consider the steady, flow of a constant density fluid in a converging duct, ...

Having lowered the bar for the sense in which we hope to solve a system of linear equations, one might wonder whether this quantum algorithm 3 offers a real advantage over classical computing at all.

Slater, Paul B. and Dunkl, Charles F. 2015. Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States. Advances in ...

Miyagawa, Akihiro and Speicher, Roland 2023. A dual and conjugate system for q-Gaussians for all q. Advances in Mathematics, Vol. 413, Issue. , p. 108834.

On Tuesday, 538 released its 2024 election forecast for the House of Representatives. The general idea behind our forecast is to combine polling data (say, on which party Americans want to control ...

The shapes could be defined by polynomials—equations from high school math that sum up sequences of terms. But these were special polynomials, the group realized, in that they corresponded to ...

To fit the curve, I found the best cubic equation that fit the data. The decision to settle on a cubic rather than quadratic function or even higher order polynomial is somewhat arbitrary.

we must take our whole polynomial and divide it by a linear factor. Ultimately, you may repeat this process until only linear ...