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 ...

One significant area of recent research is the study of preperiodic points for quadratic polynomials. A preperiodic point is a point that eventually enters a periodic orbit under iteration of a ...

In other words, use the structure to determine how to simplify an expression, factor a polynomial, or solve an equation efficiently ... Topics include linear functions, quadratic functions, composing ...

Recent research has focused on various aspects of these polynomials, including their relationships with differential equations ... but also characterized a quadratic class of Cauchy–Stieltjes ...