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  2. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    Given a quadratic polynomial of the form + the numbers h and k may be interpreted as the Cartesian coordinates of the vertex (or stationary point) of the parabola. That is, h is the x -coordinate of the axis of symmetry (i.e. the axis of symmetry has equation x = h ), and k is the minimum value (or maximum value, if a < 0) of the quadratic ...

  3. Quadratic function - Wikipedia

    en.wikipedia.org/wiki/Quadratic_function

    To convert the standard form to factored form, one needs only the quadratic formula to determine the two roots r 1 and r 2. To convert the standard form to vertex form, one needs a process called completing the square. To convert the factored form (or vertex form) to standard form, one needs to multiply, expand and/or distribute the factors.

  4. Polynomial transformation - Wikipedia

    en.wikipedia.org/wiki/Polynomial_transformation

    Polynomial transformations have been applied to the simplification of polynomial equations for solution, where possible, by radicals. Descartes introduced the transformation of a polynomial of degree d which eliminates the term of degree d − 1 by a translation of the roots. Such a polynomial is termed depressed. This already suffices to solve ...

  5. Wikipedia:Reference desk/Archives/Mathematics/2009 February 8 ...

    en.wikipedia.org/wiki/Wikipedia:Reference_desk/...

    The formula for finding roots to these equations are a lot simpler than the quadratic formula; x=(±t-k)/s, and for quadratic functions with a non unit coefficient for x 2, my method is simpler than factorizing.The Successor of Physics 10:07, 11 February 2009 (UTC)

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    The AOL.com video experience serves up the best video content from AOL and around the web, curating informative and entertaining snackable videos.

  7. Quadratic equation - Wikipedia

    en.wikipedia.org/wiki/Quadratic_equation

    Abū Kāmil Shujā ibn Aslam (Egypt, 10th century) in particular was the first to accept irrational numbers (often in the form of a square root, cube root or fourth root) as solutions to quadratic equations or as coefficients in an equation. [30] The 9th century Indian mathematician Sridhara wrote down rules for solving quadratic equations. [31]

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