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  2. Polynomial - Wikipedia

    en.wikipedia.org/wiki/Polynomial

    According to the definition of polynomial functions, there may be expressions that obviously are not polynomials but nevertheless define polynomial functions. An example is the expression (), which takes the same values as the polynomial on the interval [,], and thus both expressions define the same polynomial function on this interval.

  3. Expression (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Expression_(mathematics)

    For example the above polynomial expression is equivalent (denote the same polynomial as + + Many author do not distinguish polynomials and polynomial expressions. In this case the expression of a polynomial expression as a linear combination is called the canonical form , normal form , or expanded form of the polynomial.

  4. Constant term - Wikipedia

    en.wikipedia.org/wiki/Constant_term

    For example, in the quadratic polynomial, + +, The number 3 is a constant term. [1] After like terms are combined, an algebraic expression will have at most one constant term. Thus, it is common to speak of the quadratic polynomial + +,

  5. Algebraic equation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_equation

    In mathematics, an algebraic equation or polynomial equation is an equation of the form =, where P is a polynomial with coefficients in some field, often the field of the rational numbers. For example, x 5 − 3 x + 1 = 0 {\displaystyle x^{5}-3x+1=0} is an algebraic equation with integer coefficients and

  6. Polynomial interpolation - Wikipedia

    en.wikipedia.org/wiki/Polynomial_interpolation

    Polynomial interpolation also forms the basis for algorithms in numerical quadrature (Simpson's rule) and numerical ordinary differential equations (multigrid methods). In computer graphics, polynomials can be used to approximate complicated plane curves given a few specified points, for example the shapes of letters in typography.

  7. Variable (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Variable_(mathematics)

    Because of the strong relationship between polynomials and polynomial functions, the term "constant" is often used to denote the coefficients of a polynomial, which are constant functions of the indeterminates. Other specific names for variables are: An unknown is a variable in an equation which has to be solved for.

  8. Indeterminate (variable) - Wikipedia

    en.wikipedia.org/wiki/Indeterminate_(variable)

    A polynomial can be formally defined as the sequence of its coefficients, in this case ⁠ [,,] ⁠, and the expression ⁠ + ⁠ or more explicitly ⁠ + + ⁠ is just a convenient alternative notation, with powers of the indeterminate ⁠ ⁠ used to indicate the order of the coefficients. Two such formal polynomials are considered equal ...

  9. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    The formula for the difference of two squares can be used for factoring polynomials that contain the square of a first quantity minus the square of a second quantity. For example, the polynomial x 4 − 1 {\displaystyle x^{4}-1} can be factored as follows: