iCoachMath.com: Examples on Complex Zeros and The Fundamental Theorem of Algebra - Polynomial, Power, and Rational Functions - (AK)
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Solved Examples

Curriculum: Alaska Math Grade Level Expectations   Click to change Curriculum

Topic: Polynomial, Power, and Rational Functions  Click to change Topic

Lesson: M.A.1b, 4: Complex Zeros and The Fundamental Theorem of Algebra  Click to change Lesson

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DDD Write the polynomial function f (x) = (x - 9)(x - 2i)(x + 2i) in the standard form. DDD View Solution
DDD Solve the equation x3 + 8 = 0.
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DDD Solve x4 = 625. DDD View Solution
DDD Find the standard form of the given polynomial function f (x) = 7x (x + 4) ((x - 6) + i) ((x - 6) - i). DDD View Solution
DDD Find the zeros of the function f (x) = (x - 9)(x - 5i)(x + 5i).
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DDD The degree of a polynomial function f(x) with real coefficients is 15. Choose the maximum number of nonreal zeros f(x) can have.
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DDD The degree of a polynomial function f(x) with real coefficients is 19. Choose the minimum number of real zeros that f(x) will have.
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DDD Which of the following cannot be the number of real zeros of a polynomial of degree 5 with real coefficients? DDD View Solution
DDD The degree of a polynomial function f(x) with real coefficients is 14. How many nonreal zeros does f(x) have?
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DDD Find the number of complex and real zeros of the function f (x) = x2 - 2x + 4. DDD View Solution
DDD Choose the cubic function that has zeros 7, - 3i and 3i.
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DDD Find a polynomial function of minimum degree in standard form with real coefficients whose zeros are 3, 6 + i and 4i.
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DDD Choose a polynomial function in standard form with real coefficients whose zeros are 3 and - 7 and multiplicity of 3 and 2 respectively.
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DDD Find a polynomial function in standard form with real coefficients whose zeros are 2 and - 5 and multiplicity is 2 and 2.
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DDD Solve x3 = 343.
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DDD Find the x - intercepts of the graph of the polynomial function f (x) = (x + 3)(x - 3)(x + i)(x - i). DDD View Solution
DDD Where does the graph of the polynomial function f (x) = (x-2)2(x + i)( x - i) cross the x - axis?
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DDD Solve x3 = 729.
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DDD Match the polynomial function graph to its zeros and multiplicity. DDD View Solution
DDD Which of the following cannot be the number of real zeros of a polynomial of degree 13 with real coefficients? DDD View Solution
DDD Write the polynomial function f (x) = (x - 10)(x - 5i)(x + 5i) in the standard form. DDD View Solution
DDD Find the standard form of the given polynomial function f (x) = 6x (x + 3) ((x - 5) + i) ((x - 5) - i). DDD View Solution
DDD Find the zeros of the function f (x) = (x - 10)(x - 8i)(x + 8i).
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DDD The degree of a polynomial function f(x) with real coefficients is 17. Choose the maximum number of nonreal zeros f(x) can have.
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DDD Choose the cubic function that has zeros 13, - 5i and 5i.
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DDD If 1 + 3i is a zero of the function f (x) = 4x4+37x2+54x + 130, then find the other zeros of the function.
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DDD The degree of a polynomial function f(x) with real coefficients is 5. Choose the minimum number of real zeros that f(x) will have.
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DDD Which of the following is the zero of the polynomial, f (x) = x3 - (2 - i)x2 + (2 - 2i)x - 4?
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DDD Solve x4 = 256. DDD View Solution
DDD Find a polynomial function of minimum degree in standard form with real coefficients whose zeros are 3, 5 + i and 3i.
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DDD Choose a polynomial function in standard form with real coefficients whose zeros are 2 and - 6 and multiplicity of 3 and 2 respectively.
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DDD Find a polynomial function in standard form with real coefficients whose zeros are 4 and - 5 and multiplicity is 2 and 2.
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DDD The degree of a polynomial function f(x) with real coefficients is 12. How many nonreal zeros does f(x) have?
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DDD Find the number of complex and real zeros of the function f (x) = x2 - 6x + 36. DDD View Solution
DDD Which of the following is true? DDD View Solution
DDD Which of the following is true for the polynomial function, f (x) having a + ib as a complex zero? DDD View Solution
DDD Which of the following is true? DDD View Solution
DDD Which of the following is a polynomial of degree 4 with real coefficients that has having zeros 3, - 1, and 2 - i?
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DDD Solve the equation x3 + 216 = 0.
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DDD The degree of a polynomial function f(x) with real coefficients is 14. Choose the minimum number of real zeros f(x) can have. DDD View Solution
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