If (x-a) is a factor of a polynomial then when x=a the function is equal to:
[tex]\begin{gathered} f(x)=(x-a)\cdot\ldots \\ \\ f(a)=(a-a)\cdot\ldots \\ \\ f(a)=0\cdot\ldots \\ \\ \text{ If one of the factors is equal to zero the function is equal to zero} \end{gathered}[/tex]Then, (x – a) is the factor of a polynomial P(x) if P(a) is equal to: 0