Question 656066
f(x)= x^3+x^2-4x-4
a. List all possible rational zeros.
+-1,+-2,+-4
b. Use synthetic division to test the possible rational zeros and find an actual zero.
testing -1:
-1 | 1 1 -4 -4
      -1  0  4
  ---------------
     1 0 -4  0    
since, it is evenly divisible, -1 is a root
.
c. Use the quotient from part (b) to find the remaining zeros of the polynomial function.
since -1 is a root, we then have
(x+1)(x^2-4)
factoring right term:
(x+1)(x-2)(x+2)
zeros are then
x = {-2, -1, 2}