UPSKILL MATH PLUS

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Zero 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 p(x) is the real number 'a' for which p(x) if p(a)=0. In this situation, we say p(x) = 0 is a polynomial equation, and a is a root of the polynomial.
 
3. Each real number is a zero of the zero polynomial p(x)=0.
 
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.
 
0 = 3a.0/3 =a0=a
 
Thus, a=0 is the zero of the polynomial p(a)=3a.
 
 
2. Find the zero of a polynomial p(x)=x2.
 
Putting p(x) = 0 in the polynomial equation.
 
0=x2x=2
 
Thus x=2 is the zero of the polynomial p(x)=x2.
 
 
3. For the zero polynomial, p(8) = 0, 8 is the zero and it is a real number.
 
 
4. For the constant polynomial p(x)=8 does not have a zero.