Zeros of Polynomial Formula
For a linear polynomial of form ax + b, its zero is given by x = -b/a.
For a quadratic polynomial of form ax2 + bx + c, its zero is given by x = {- b ± √D}/2a where D is Discriminant given by b2 – 4ac.
Zeros of Polynomial
Zeros of a Polynomial are those real, imaginary, or complex values when put in the polynomial instead of a variable, the result becomes zero (as the name suggests zero as well). Polynomials are used to model some physical phenomena happening in real life, they are very useful in describing situations mathematically.
The zeros of a polynomial are all the x-values that make the polynomial equal to zero. Zeroes of a polynomial tell us about the x-intercepts of the polynomial’s graph. In this article, we will discuss about the zeroes of a polynomial, how to find them, the factor theorem, etc.
Table of Content
- What are Zeros of Polynomials?
- Zeros of Polynomial Formula
- How to Find Zero of a Polynomial?
- For Linear Polynomial
- For Quadratic Polynomial
- For Cubic Polynomial
- Factor Theorem
- Relation between Zeros and Coefficient
- Relation between Zeros and Coefficient for Quadratic Equation
- Relation between Zeros and Coefficient for Cubic Equation
- Forming Equation with Zeros of Polynomial
- Zeros in Graph of Polynomials
- Fundamental Theorem of Linear Algebra
- Multiplicity of a Root
- Articles related to Zeros of Polynomial
- Sample Problems on Zeros of Polynomial
- Practice Problems on Zeros of Polynomial