Question 674236
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
The factor theorem states that a polynomial f(x) has a factor (x &#8722; k) if and only if f(k) = 0
<font color="red">roots</font> -1+4i and -1-4i
f(x) = a(x-(-1+4i))(x -(-1-4i)) = a(x^2 -2x +17)
 a = 1
f(x) = x^2 -2x +17
Check product {{{(x-(-1+4i))(x -(-1-4i))}}} Using FOIL
F	First terms
O	Outside terms
I	Inside terms
L	Last terms