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2. Polynomial root-finding algorithms - Wikipedia

   en.wikipedia.org/wiki/Polynomial_root-finding...

   Finding the root of a linear polynomial (degree one) is easy and needs only one division: the general equation has solution For quadratic polynomials (degree two), the quadratic formula produces a solution, but its numerical evaluation may require some care for ensuring numerical stability. For degrees three and four, there are closed-form ...

3. Equating coefficients - Wikipedia

   en.wikipedia.org/wiki/Equating_coefficients

   Equating coefficients. In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term.

4. FOIL method - Wikipedia

   en.wikipedia.org/wiki/FOIL_method

   In elementary algebra, FOIL is a mnemonic for the standard method of multiplying two binomials [ 1] —hence the method may be referred to as the FOIL method. The word FOIL is an acronym for the four terms of the product: The general form is. Note that a is both a "first" term and an "outer" term; b is both a "last" and "inner" term, and so forth.

5. Google Search can now help you solve geometry, physics and ...

   techcrunch.com/2023/11/01/google-search-update...

   The update allows you to type an equation into the Search bar or take a photo with Lens to get the correct answer and a step-by-step explanation. ... Find the area of a triangle using A = 1/2 x ...

6. Pythagorean theorem - Wikipedia

   en.wikipedia.org/wiki/Pythagorean_theorem

   In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

7. Equations of motion - Wikipedia

   en.wikipedia.org/wiki/Equations_of_motion

   There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.