Fundamental Theorem Of Algebra Quiz

5 Questions | By Cookieminer59 | Last updated: Oct 30, 2013 | Total Attempts: 91

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Questions and Answers

1.

0=x^2+9
- A.
  
  X=±3
- B.
  
  X=±3i
- C.
  
  X=9i
- D.
  
  X=3, x=3i
2.

Find all zeros and write a linear factorization of f(x) if f(x)=x^4+10x^3+25x^2+40x+84
- A.
  
  X=3,-7,-2
- B.
  
  X=6,14,±4i
- C.
  
  X=3,-7,±2i
- D.
  
  X=-3,7,2i
3.

Write a polynomial of minimum degree in factored form with real coefficients whose zeros and their multiplicities include those listed. 2 (multiplicity 3), -4 (multiplicity 2).
- A.
  
  (X+2)^3 (X-4)^2
- B.
  
  (X-2)^3 (X+4)^2
- C.
  
  (X-3)^2 (X+2)^4
- D.
  
  (X+3)^2 (X-2)^4
4.

State how many complex and real zeros the following functions have. F(x)=x^3+3x^2-14x-20
- A.
  
  Real: 1, Imaginary:2
- B.
  
  Real: 2, Imaginary: 1
- C.
  
  Real: 2, Imaginary: 2
- D.
  
  Real: 1, Imaginary: 1
5.

State how many complex and real zeros the following functions have. f(x)=x^3-x+3
- A.
  
  Real: 2, Imaginary:1
- B.
  
  Real: 1, Imaginary: 2
- C.
  
  Real: 3, Imaginary: 0
- D.
  
  Real: 0, Imaginary: 3

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