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2. Polynomial - Wikipedia

   en.wikipedia.org/wiki/Polynomial

   For example, antiderivatives of x 2 + 1 have the form ⁠ 1 / 3 ⁠ x 3 + x + c. For polynomials whose coefficients come from more abstract settings (for example, if the coefficients are integers modulo some prime number p , or elements of an arbitrary ring), the formula for the derivative can still be interpreted formally, with the coefficient ...

3. Elementary algebra - Wikipedia

   en.wikipedia.org/wiki/Elementary_algebra

   To solve this kind of equation, the technique is add, subtract, multiply, or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated, the other side of the equation is the value of the variable. [37] This problem and its solution are as follows: Solving for x

4. Degree of a polynomial - Wikipedia

   en.wikipedia.org/wiki/Degree_of_a_polynomial

   Then, f(x)g(x) = 4x 2 + 4x + 1 = 1. Thus deg( f ⋅ g ) = 0 which is not greater than the degrees of f and g (which each had degree 1). Since the norm function is not defined for the zero element of the ring, we consider the degree of the polynomial f ( x ) = 0 to also be undefined so that it follows the rules of a norm in a Euclidean domain.

5. Equating coefficients - Wikipedia

   en.wikipedia.org/wiki/Equating_coefficients

   The unique pair of values a, b satisfying the first two equations is (a, b) = (1, 1); since these values also satisfy the third equation, there do in fact exist a, b such that a times the original first equation plus b times the original second equation equals the original third equation; we conclude that the third equation is linearly ...

6. Equation solving - Wikipedia

   en.wikipedia.org/wiki/Equation_solving

   One particular solution is x = 0, y = 0, z = 0. Two other solutions are x = 3, y = 6, z = 1, and x = 8, y = 9, z = 2. There is a unique plane in three-dimensional space which passes through the three points with these coordinates, and this plane is the set of all points whose coordinates are solutions of the equation.

7. System of linear equations - Wikipedia

   en.wikipedia.org/wiki/System_of_linear_equations

   The solution set for the equations x − y = −1 and 3x + y = 9 is the single point (2, 3). A solution of a linear system is an assignment of values to the variables ,, …, such that each of the equations is satisfied. The set of all possible solutions is called the solution set. [5]

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   Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

9. Fundamental theorem of algebra - Wikipedia

   en.wikipedia.org/wiki/Fundamental_theorem_of_algebra

   Every rational function in one variable x, with real coefficients, can be written as the sum of a polynomial function with rational functions of the form a/(x − b) n (where n is a natural number, and a and b are real numbers), and rational functions of the form (ax + b)/(x 2 + cx + d) n (where n is a natural number, and a, b, c, and d are ...