Question

explain the factor theorem ​

Answer 1

Answer:

In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.[1]

The factor theorem states that a polynomial {\displaystyle f(x)} f(x) has a factor {\displaystyle (x-k)} (x - k) if and only if {\displaystyle f(k)=0} f(k)=0 (i.e. {\displaystyle k} k is a root).[2]