(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 ...

The shapes could be defined by polynomials—equations from high school math that sum up sequences of terms. But these were ...

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 ...

The student's discoveries were confirmed by the math community this week after their proofs were published in the American ...

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, ...

In addition to the many examples with hand calculations ... including numerical linear algebra, polynomial and trigonometric interpolation, best approximation, numerical quadrature, the approximate ...

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.

In the last article — Beyond Control: The Basics of Control Systems — we looked at an overview of what a control systems are in general with the example: “everything in between water and ...