Discriminant Definition Math

The discriminant is widely used in factoring polynomials number theory and algebraic geometry.

Discriminant definition math. In mathematics the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots the discriminant of a polynomial is generally defined in terms of a polynomial function of its coefficients. Virtual nerd s patent pending tutorial system provides in context information hints and links to supporting tutorials synchronized with videos each 3 to 7 minutes long. These unique features make virtual nerd a viable alternative to private tutoring. The discriminant of an equation gives an idea of the number of roots and the nature of roots of the equation.

In algebra the discriminant of a polynomial is a function of its coefficients which gives information about the nature of its roots. If discriminant d is equal to 0 then the equation has one real solution. Freebase 0 00 0 votes rate this definition. The discriminant is easy to find when you look at the quadratic formula the quadratic formula is the equation you use to find the solutions to quadratic equations.

Learn definition of discriminant solved examples formula and properties. Make your child a math thinker the cuemath way. Illustrated definition of discriminant. D b 2 4ac.

If ax 2 bx c 0 is a quadratic equation then the discriminant of the equation i e. The expression bsup2sup minus 4ac used when solving quadratic equations. The discriminant is the part of the quadratic formula underneath the square root symbol. In the case of a quadratic equation ax 2 bx c 0 the discriminant is b 2 4ac.

In this non linear system users are free to take whatever path through the material best serves their needs. If ax 2 bx c 0 is a quadratic equation discriminant d b2 4ac. Discriminant in mathematics a parameter of an object or system calculated as an aid to its classification or solution. The discriminant tells us whether there are two solutions one solution or no solutions.