Tool to calculate the root of a polynomial. In mathematics, a root of a polynomial is a value for which the polynomial is 0. A polynomial of degree n can have between 0 and n roots.
Polynomial Root - dCode
Tag(s) : Functions
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Polynomial Root
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Root Calculator
Tool to calculate the root of a polynomial. In mathematics, a root of a polynomial is a value for which the polynomial is 0. A polynomial of degree n can have between 0 and n roots.
Answers to Questions
How to calculate a root?
The general principle of root calculation is to evaluate the solutions of the equation polynomial = 0 according to the studied variable.
Example: The roots of the quadradic polynomial \( ax ^ 2 + bx + c \) are the solutions of the equation \( ax ^ 2 + bx + c = 0 \) so $$ x = \frac{ \pm \sqrt{ b ^ 2-4ac } -b}{2 a} $$
The calculation of polynomial roots generally involves the calculation of its discriminant.
Example: For a quadratic polynomial \( ax ^ 2 + bx + c \) the discriminant is \( \Delta = b ^ 2-4 a c \)
How to calculate a discriminant?
Use the polynomial discriminant calculator on dCode which automatically adapts to polynomials of degree 2, degree 3, etc. degree n.
What is a zero for a polynomial?
A zero of a polynomial function \( P \) is a solution \( x \) such that \( P(x) = 0 \), so it is the other name of a root.
What is a nt degree polynomial?
The order of a polynomial (2nd order 2 or quadratic, 3rd order or cubic, 4th order, etc.) is the value of its largest exponent.
Example: \( x^3+x^2+x \) is a polynomial of 3rd order
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