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In mathematics, a

**cube root**of a number x is a number y such that y3 = x. All nonzero real numbers, have exactly one real**cube root**and a pair of complex conjugate**cube****roots**, and all nonzero complex numbers have three distinct complex**cube****roots**. For example, the real**cube root**of 8, denoted. 8 3 {\displaystyle {\sqrt [ {3}] {8}}}The

**cube root**rule or**cube root**law is an observation in political science that the number of members of a unicameral legislature, or the lower house of a bicameral legislature, is about the**cube root of**the population being represented. The rule was devised by Rein Taagepera in his 1972 paper "The size of national assemblies".Here the function is f(x) = (x3 + 3x2 − 6x − 8)/4. In algebra, a cubic equation in one variable is an equation of the form. a x 3 + b x 2 + c x + d = 0 {\displaystyle ax^ {3}+bx^ {2}+cx+d=0} in which a is nonzero. The solutions of this equation are called

**roots**of the cubic function defined by the left-hand side of the equation.The volume of a geometric

**cube**is the**cube**of its side length, giving rise to the name. The inverse operation that consists of finding a number whose**cube**is n is called extracting the**cube root**of n. It determines the side of the**cube**of a given volume. It is also n raised to the one-third power. The graph of the**cube**function is known as the ...The

**cube**is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices. The**cube**is also a square parallelepiped, an equilateral**cuboid**and a right rhombohedron a 3 - zonohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations.The

**roots**, stationary points, inflection point and concavity of a cubic polynomial x 3 − 3x 2 − 144x + 432 (black line) and its first and second derivatives (red and blue). The critical points of a cubic function are its stationary points , that is the points where the slope of the function is zero. [2]

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