Given:
The polynomial is:
[tex]p(x)=x^2-1[/tex]
To find:
Whether [tex]x=-2[/tex] is a zero of the given polynomial or not.
Solution:
If [tex]x=c[/tex] is a zero of a polynomial, then [tex]f(c)=0[/tex].
We have,
[tex]p(x)=x^2-1[/tex]
Putting [tex]x=-2[/tex] in the given polynomial.
[tex]p(-2)=(-2)^2-1[/tex]
[tex]p(-2)=4-1[/tex]
[tex]p(-2)=3[/tex]
Since [tex]p(-2)\neq 0[/tex], therefore [tex]x=-2[/tex] is not a zero of the given polynomial.
