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Topics
PreAlgebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
Evaluate
Graphs
Solve Equations
Calculus
Derivatives
Integrals
Limits
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Trigonometry Calculator
Calculus Calculator
Matrix Calculator
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Related Concepts
Polynomial
In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positiveinteger powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7. An example with three indeterminates is x³ + 2xyz² − yz + 1.
Quadratic formula
In elementary algebra, the quadratic formula is a formula that provides the two solutions, or roots, to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as completing the square. Given a general quadratic equation of the form whose discriminant b²4ac is positive, with x representing an unknown, with a, b and c representing constants, and with a ≠ 0, the quadratic formula is: where the plus–minus symbol "±" indicates that the quadratic equation has two solutions. Written separately, they become: Each of these two solutions is also called a root of the quadratic equation. Geometrically, these roots represent the xvalues at which any parabola, explicitly given as y = ax² + bx + c, crosses the xaxis. As well as being a formula that yields the zeros of any parabola, the quadratic formula can also be used to identify the axis of symmetry of the parabola, and the number of real zeros the quadratic equation contains. The expression b² − 4ac is known as the discriminant. If a, b, and c are real numbers and a ≠ 0 then When b² − 4ac > 0, there are two distinct real roots or solutions to the equation ax² + bx + c = 0. When b² − 4ac = 0, there is one repeated real solution. When b² − 4ac < 0, there are two distinct complex solutions, which are complex conjugates of each other.
Trinomial
Quadratic function
Zero of a function
Cubic function
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