define zeros of polynomials
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Zero of a polynomial is simply a number when substituted in polynomial in place of variable results 0. It is a solution to the polynomialequation, P(x) = 0. It is that value of x that makes the polynomial equal to 0. It is traditional to speak of a root of a polynomial.
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Let f(x) be a polynomial as a function of ‛x’.
So, Zeros of the polynomial f(x) can be defined as under:
The values of 'x' for which the whole polynomial turns out to be zero is known as the zero of a polynomial f(x).
For Example:
Let a polynomial be f(x) = x - 5.
So, for zero of the given polynomial, f(x) must be equal to zero(0).
=> f(x) = 0
=> x - 5 = 0
=> x = 5.
Therefore, the zero of the polynomial [f(x) = x - 5] is x = 5.
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