UPSKILL MATH PLUS
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Learn moreZero of polynomial p(x) is a real number 'a' such that p(a)= 0.
For polynomial p(x), if p(a) = 0 then the zero of the polynomial is x = a.
So, we put p(x) = 0 to find zero of the polynomial.
The value of x is then found.
Important!
1. Zero of a polynomial: To find the zero of polynomial, we put p(x) = 0 in the given polynomial p(x).
2. Zeros of a polynomial is the real number '' for which if . In this situation, we say p(x) = 0 is a polynomial equation, and is a root of the polynomial.
3. Each real number is a zero of the zero polynomial .
4. The non-zero constant polynomial does not have zeros.
Example:
1. Find the zero of the polynomial p(x)=3a.
Putting p(x) = 0 in the polynomial equation.
Thus, a=0 is the zero of the polynomial p(a)=3a.
2. Find the zero of a polynomial .
Putting p(x) = 0 in the polynomial equation.
Thus x=2 is the zero of the polynomial .
3. For the zero polynomial, p(8) = 0, 8 is the zero and it is a real number.
4. For the constant polynomial does not have a zero.