

1. 
Divide x^{4} + 2x^{2}  1 by x  1 using synthetic division. The result of synthetic division is ____. 


A. 
1 3 1 3  2 
B. 
1 1 3 3  2 


C. 
1 3 1 3  2 
D. 
1 1 3 3  2 


Hint 


2. 
If you divide a polynomial by the factor x + 6 and a remainder of zero results, which conclusion is true? 


A. 
x  6 is a factor of the polynomial. 
B. 
x + 6 is a factor of the polynomial. 


C. 
x + 6 is not a factor of the polynomial. 
D. 
x  6 is not a factor of the polynomial. 


Hint 


3. 
Determine the binomial factors of x^{3}  5x^{2}  x + 5 = 0. 


A. 
x  1, x + 1, and x  3 
B. 
x + 1, x  1, and x  6 


C. 
x + 1, x  1, and x  4 
D. 
x  1, x + 1, and x  5 


Hint 


4. 
Find the value of k so that the remainder of (x^{3}  3x^{2} + kx  6) ÷ (x + 2) is 0. 


A. 
k = 11 
B. 
k = 6 


C. 
k = 13 
D. 
k = 11 


Hint 


5. 
Use the Remainder Theorem to find the remainder for the division of (x^{4}  3x^{2} + 2x  1) ÷ (x  1). The remainder is ____. 


A. 
2 
B. 
1 


C. 
1 
D. 
0 


Hint 

