For polynomial p(x) ,

If p(a) = 0

Then x = a is the zero of polynomial

Let us take an example

Let p(x) = 5x
^{
3
}
− 2x
^{
2
}
+ 3x − 6

For x = 1

p(1) = 5(1)
^{
3
}
− 2(1)
^{
2
}
+ 3(1) − 6

= 5 − 2 + 3 − 6

= 5 + 3 − 2 − 6

= 0

So p(1) = 0 for x = 1

∴ x = 1 is a zero of p(x)

Next, we will learn how to find zeroes of a polynomial