Difference between revisions of "Zeroes of a Polynomial"
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Latest revision as of 18:19, 7 May 2024
Definition
The zeros of a polynomial are the values of which satisfy the equation . Here is a function of , and the zeros of the polynomial are the values of for which the value is equal to zero. The number of zeros of a polynomial depends on the degree of the equation . All such domain values of the function, for which the range is equal to zero, are called the zeros of the polynomial.
How to Find Zero of a Polynomial?
Linear Equation
A linear equation is of the form . The zero of this equation can be calculated by substituting , and on simplification we have or .
Quadratic Equation
The quadratic equation of the form can be factorized as , and we have or as the zeros of the polynomial. And for a quadratic equation of the form which cannot be factorized, the zeros can be calculated using the formula