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