Question

what is mean by zero of the polynomial

Answer 1

Zero of a polynomial is the value of the variable, at which the value of the polynomial becomes zero.
for example, let's take a polynomial f(x) = 5x - 5. If we take the value of x to be 1, the value of polynomial will be f(1) = 5×1 - 5 = 5 - 5 =0. Since the value of polynomial becomes 0 at x=1, 1 is a zero of the polynomial.
Zero of a polynomial is also called the root of the polynmial.

Answer 2

The value of the variable ,at which the value of the polynomial becomes 0 is called ''Zero of the polynomial''.
For Example,Let P(x) x²+x-6 be a polynomial in 'x'.
                  P(x) = x²+x-6
The value of p(x) at x =2 ,
P(2) = (2)²+2-6
       = 4+(-4)
       = 0
The value of p(x) at x = -3 ,
p(-3) = (-3)²+(-3)-6
        = 9+(-9)
        = 0.
We have p(2) = 0 and p(-3) = 0 ,These points are called the zeroes of the polynomial x²+x-6.