Exam
Name___________________________________

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question. 

Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors. 

1) 

f(x) = x3 - 12x - 16 

1) 

_______ 

A) 

-2, multiplicity 2; -4; f(x) = (x + 4) 

B) 

-2, multiplicity 2; 4; f(x) = (x - 4) 

C) 

-2, 2, 4; f(x) = (x + 2)(x - 2)(x - 4) 

D) 

-4, -2, 2; f(x) = (x + 4)(x + 2)(x - 2) 

2) 

f(x) = x3 - 75x - 250 

2) 

_______ 

A) 

-5, multiplicity 2; 10; f(x) = (x - 10) 

B) 

-5, 5, 10; f(x) = (x + 5)(x - 5)(x - 10) 

C) 

-10, -5, 5; f(x) = (x + 10)(x + 5)(x - 5) 

D) 

-5, multiplicity 2; -10; f(x) = (x + 10) 

3) 

f(x) = x3 - 48x - 128 

3) 

_______ 

A) 

-4, multiplicity 2; -8; f(x) = (x + 8) 

B) 

-4, multiplicity 2; 8; f(x) = (x - 8) 

C) 

-4, 4, 8; f(x) = (x + 4)(x - 4)(x - 8) 

D) 

-8, -4, 4; f(x) = (x + 8)(x + 4)(x - 4) 

4) 

f(x) = x3 - 27x - 54 

4) 

_______ 

A) 

-3, multiplicity 2; 6; f(x) = (x - 6) 

B) 

-3, multiplicity 2; -6; f(x) = (x + 6) 

C) 

-6, -3, 3; f(x) = (x + 6)(x + 3)(x - 3) 

D) 

-3, 3, 6; f(x) = (x + 3)(x - 3)(x - 6) 

 

1) 

B 

2) 

A 

3) 

B 

4) 

A