Factor Theorem: If is a polynomial of degree \(n > 1\) and \(a\) is any real number, then:
(i) is a factor of , if , and
(ii), if is a factor of .
This is an extension to the remainder theorem where the remainder is , which is .
Examine whether is factor of .
To find is a factor of or not.
As, result of factor theorem is factor of \(p(x)\) if .
The zero of is \(x+2 = 0\). That is, \(x = -2\).
Therefore, is factor of .
When may be a factor of then .