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cn.9

Quiz by Mr. Atsu

High School - Math 3
Mathematics
North Carolina Standard Course of Study

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8 questions
Show answers
  • Q1
    What does the Fundamental Theorem of Algebra state about a polynomial function of degree 4?
    It has exactly 4 roots, counting multiplicities.
    It can have 2 real roots and 2 complex roots.
    It has at most 4 roots.
    It has at least 4 real roots.
    30s
    NC.M3.N-CN.9
  • Q2
    How many potential types of solutions can a cubic polynomial have according to the Fundamental Theorem of Algebra?
    It can have 3 real solutions or 1 real and 2 complex solutions.
    It must have 3 complex solutions.
    It can have 2 real solutions and 1 complex solution.
    It can only have 3 real solutions.
    30s
    NC.M3.N-CN.9
  • Q3
    According to the Fundamental Theorem of Algebra, how many roots should a polynomial of degree 5 have?
    It has exactly 5 roots, including real and complex ones.
    It has exactly 5 real roots.
    It has at least 3 complex roots.
    It has up to 5 real roots.
    30s
    NC.M3.N-CN.9
  • Q4
    If a polynomial function is of degree 6, what is the maximum number of real roots it can have?
    It can have up to 6 real roots.
    It can have a maximum of 5 real roots.
    It must have at least 1 complex root.
    It can have exactly 3 real roots.
    30s
    NC.M3.N-CN.9
  • Q5
    If a polynomial of degree 8 has 2 real roots, how many complex roots does it have according to the Fundamental Theorem of Algebra?
    It has 6 complex roots.
    It has 8 complex roots.
    It has 5 complex roots.
    It has 4 complex roots.
    30s
    NC.M3.N-CN.9
  • Q6
    What is the total number of roots for a polynomial function of degree 7 according to the Fundamental Theorem of Algebra?
    There are at least 5 real roots.
    There are exactly 7 complex roots.
    There are exactly 7 roots, including real and complex roots.
    There are at most 7 real roots.
    30s
    NC.M3.N-CN.9
  • Q7
    What combination of root types can a polynomial of degree 4 have according to the Fundamental Theorem of Algebra?
    It can have 4 real roots or 2 real and 2 complex roots.
    It can only have 4 real roots.
    It can have 3 real roots and 1 complex root.
    It must have 1 real root and 3 complex roots.
    30s
    NC.M3.N-CN.9
  • Q8
    For a polynomial of degree 10, how many complex roots can it have if it already has 4 real roots?
    It can have 6 complex roots.
    It can have 8 complex roots.
    It can have 4 complex roots.
    It can have 10 complex roots.
    30s
    NC.M3.N-CN.9

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