Fundamental Theorem Of Algebra Quiz

5 Questions | Total Attempts: 71

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Algebra Quizzes & Trivia

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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