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2. Completing the square - Wikipedia

   en.wikipedia.org/wiki/Completing_the_square

   Animation depicting the process of completing the square. (Details, animated GIF version) In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ⁠ ⁠ to the form ⁠ ⁠ for some values of ⁠ ⁠ and ⁠ ⁠. [1] In terms of a new quantity ⁠ ⁠, this expression is a quadratic ...

3. Quadratic formula - Wikipedia

   en.wikipedia.org/wiki/Quadratic_formula

   Quadratic formula. The roots of the quadratic function y = ⁠ 1 2 ⁠x2 − 3x + ⁠ 5 2 ⁠ are the places where the graph intersects the x -axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.

4. Equation solving - Wikipedia

   en.wikipedia.org/wiki/Equation_solving

   Solving an equation symbolically means that expressions can be used for representing the solutions. For example, the equation x + y = 2x – 1 is solved for the unknown x by the expression x = y + 1, because substituting y + 1 for x in the equation results in (y + 1) + y = 2 (y + 1) – 1, a true statement. It is also possible to take the ...

5. Partial fraction decomposition - Wikipedia

   en.wikipedia.org/wiki/Partial_fraction_decomposition

   In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

6. Singapore math - Wikipedia

   en.wikipedia.org/wiki/Singapore_math

   Singapore math (or Singapore maths in British English [1]) is a teaching method based on the national mathematics curriculum used for first through sixth grade in Singaporean schools. [2][3] The term was coined in the United States [4] to describe an approach originally developed in Singapore to teach students to learn and master fewer ...

7. Elementary algebra - Wikipedia

   en.wikipedia.org/wiki/Elementary_algebra

   Two-dimensional plot (red curve) of the algebraic equation . Elementary algebra, also known as college algebra, [1] encompasses the basic concepts of algebra. It is often contrasted with arithmetic: arithmetic deals with specified numbers, [2] whilst algebra introduces variables (quantities without fixed values). [3]