Verify whether the values indicated against the following polynomials are zeroes of the polynomial.

p(x) = x² – 1; x=1, -1

After substituting the value for variable in the polynomial if we get 0 then that value is called zero of the polynomial.

It means that if p(x) = 0, then x will be called as the zero of the polynomial.

p(x) = x² – 1; x = 1, -1

substituting x = 1 in x² – 1

⇒ p(1) = 1² – 1

⇒ p(1) = 0

Yes x = 1 is zero of polynomial p(x) = x² – 1

substituting x = -1 in x² – 1

⇒ p(-1) = (-1)² – 1

⇒ p(-1) = 1 – 1

⇒ p(-1) = 0

Yes x = -1 is zero of polynomial p(x) = x² – 1