For any given polynomial, there might be some values of the variable for which the polynomial will be zero. Now, these values are mathematically called zeros of a given degree of polynomial.
Sometimes, they are also commonly referred to as the roots of the polynomials. In general, we mostly used to find the zeros of quadratic equations in order to get the solutions for the given equation.
The standard format of a polynomial in x variable is anxn + an-1xn-1 +….. + a1x + a0, an, an-1, ….and so on, where a1, a0 are constants and an ≠ 0 (not equal to) and n is a whole number.
For instance, algebraic expressions such as √x + x + 5, x2 + 1/x2 are not polynomials because all exponents of x in terms of the expressions are not whole numbers.
- ‘0’ could be a zero of polynomials but it is not necessarily a zero that has to be nothing but ‘0’ only.
- All the linear polynomials have one and only one zero.
- The zeros of the polynomial depend on the degree itself.
Zero of Polynomial K = – (Constant/ Coefficient of x)