Uncommon
Discriminant
Function of a polynomial's coefficients that gives information about its roots
Discriminant
In mathematics, the discriminant of a polynomial is an expression in its coefficients that provides information about its roots without explicitly calculating them. For a polynomial with fixed coefficients, its discriminant is a fixed value: unlike the polynomial, it does not vary with the variable x {\displaystyle x} . For the quadratic polynomial f ( x ) = a x 2 + b x + c {\displaystyle f(x)=ax^{2}+bx+c} , where a ≠ 0 {\displaystyle a\neq 0} , the discriminant is Δ = b 2 − 4 a c . {\displaystyle \Delta =b^{2}-4ac.} A root is a value of...
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