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  2. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    This other factor is + + + + +. (The coefficients seem not to be integers, but must be integers if ⁠ / ⁠ is a root.) Then, the other roots are the roots of this quadratic polynomial and can be found by using the quadratic formula .

  3. Cubic function - Wikipedia

    en.wikipedia.org/wiki/Cubic_function

    Graph of a cubic function with 3 real roots (where the curve crosses the horizontal axis—where y = 0).The case shown has two critical points.Here the function is f(x) = (x 3 + 3x 2 − 6x − 8)/4.

  4. Quintic function - Wikipedia

    en.wikipedia.org/wiki/Quintic_function

    Finding the roots (zeros) of a given polynomial has been a prominent mathematical problem.. Solving linear, quadratic, cubic and quartic equations in terms of radicals and elementary arithmetic operations on the coefficients can always be done, no matter whether the roots are rational or irrational, real or complex; there are formulas that yield the required solutions.

  5. Cubic equations of state - Wikipedia

    en.wikipedia.org/wiki/Cubic_equations_of_state

    The van der Waals equation of state may be written as (+) =where is the absolute temperature, is the pressure, is the molar volume and is the universal gas constant.Note that = /, where is the volume, and = /, where is the number of moles, is the number of particles, and is the Avogadro constant.

  6. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    The polynomial x 2 + cx + d, where a + b = c and ab = d, can be factorized into (x + a)(x + b).. In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

  7. Factorization of polynomials over finite fields - Wikipedia

    en.wikipedia.org/wiki/Factorization_of...

    In mathematics and computer algebra the factorization of a polynomial consists of decomposing it into a product of irreducible factors.This decomposition is theoretically possible and is unique for polynomials with coefficients in any field, but rather strong restrictions on the field of the coefficients are needed to allow the computation of the factorization by means of an algorithm.

  8. Cubic plane curve - Wikipedia

    en.wikipedia.org/wiki/Cubic_plane_curve

    The cubics listed below can be defined in terms of the isogonal conjugate, denoted by X*, of a point X not on a sideline of ABC. A construction of X* follows. Let L A be the reflection of line XA about the internal angle bisector of angle A , and define L B and L C analogously.

  9. Cubic form - Wikipedia

    en.wikipedia.org/wiki/Cubic_form

    In mathematics, a cubic form is a homogeneous polynomial of degree 3, and a cubic hypersurface is the zero set of a cubic form. In the case of a cubic form in three variables, the zero set is a cubic plane curve.