1. algebra two

    what does it mean when two of the zeros of a polynomial function are complex conjugates?
  2. HELP!!!!!! ASAP

    what does it mean when two of the zeros of a polynomial function are complex conjugates?
  3. Calculus

    Score for Question 2: ___ of 40 points) For the polynomial (x)=x^5-5x^4+12x^3-24x^2+32x-16 , answer the following questions. Show all of your work. How many zeros does the function have over the set of complex numbers? What is the maximum number of local extrema (maxima or ...
  4. HELP!!!!!! ASAP

    which function below if either has zeros that are complex conjugates? P(x)=x^4-7x^3-27x^2+63x+81 H(x)=x^4-x^2+25x-25
  5. algebra two

    which function below, if either, has zeros that are complex conjugates? P(x)= X^4-7x^3-27x^2+63x+81 H(x)=x^3-x^2+25x-25
  6. functions

    a) find the zeros of t(x) =2x^2 + ix + 3. b) The zeros are not complex conjugates. Explain why this does not contradict with the Conjugate Zeros Theorem
  7. Algebra

    I need help with a few questions, please explain. 1. Write a polynomial function in standard form with zeros -1, -1, 6. 2. Find the roots of the equation x^3 – 3x^2 + x + 5 3. Describe the number and type of roots for the polynomial (how many real and complex?). x^3 + 5x^2...
  8. Find the complex zeros

    Find the complex zeros of the polynomial function. Write f in the factored form. f(x)=x^3-3x^2+7x-5 f(x)=
  9. Algebra

    Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all of the rational zeros of f(x)= 4x^3-3x^2-...
  10. Math

    Find all complex zeros for the following polynomial function. Please show all of your work. f(x) = x^4 - 91x^2 - 900 Hi, I need help... I'm not understanding this complex zero..
  11. pre-calculus

    find the complex zeros of the polynomial function. write F in the factored form. f(X)=x^3-7x^2+20x-24 use the complex zeros to write f in factored form. f(x)= (reduce fractions and simplify roots)
  12. algebra

    Find the complex zeros of the polynomial function. Write f in factored form. F(x)=x^3-8x^2+29x-52 Use the complex zeros to write f in factored form F(x)=____(reduce fractions and simplify roots)
  13. Precalculus

    There is at least one polynomial with real functions with 9+i as its only nonreal zero. A. The statement is​ false, because the Fundamental Theorem of Algebra dictates that there must be n complex zeros for a polynomial of degree n.   B.The statement is true. If 9 plus ...
  14. college algebra

    find the complex zeros of the polynomial function. write f in factored form. use complex zeros to write f in factored form f(x)= x^3-6x^2+21x-26
  15. Polynomial Function

    Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I got:f(x)=6x^3+24x^2+6x+24
  16. Algebra II

    Find the complex zeros of the polynomial function: x4+5x2+4
  17. Algebra II

    Write the simplest polynomial function with the zeros 2-i, square root of 5, and -2. I know that the conjugates are 2+i and -the square root of five, but when I multiply it comes out wrong. not sure A toy rocket is launched from the ground level with an initial vertical ...
  18. calculus

    Find the complex zeros of the polynomial function. F(x)=5x^4-16x^3-22x^2+200x-39
  19. algebra

    find all complex zeros for the following polynomial function please show all your work f(x) = x^3 - 125 ????????
  20. math

    find complex zeros of the polynomial function. put f in factored form. f(x)=x^3-6x^2+21x-26
  21. math

    Find the complex zeros of the polynomial function, and write f in factored form: f(x)= x^3 - 8x^2 + 30x - 36
  22. Algebra

    Find the complex zeros of the following polynomial function. Write f in the factored form. F(x)=2x^4-5x^3-20x^2+115x-52
  23. Algebra

    Find the complex zeros of the following polynomial function. Write f in the factored form. F(x)=2x^4-5x^3-20x^2+115x-52
  24. college algebra

    find the complex zeros of the polynomial function. write f in factored form. f(x)=x^3-10x^2+37x-52
  25. calculus

    find the complex zeros of the polynomial function. write f in factored form. f(x)=x^3-10x^2+42x-72 please show work.
  26. calculus--please help!!

    find the complete zeros of the polynomial function. Write f in factored form. f(x)=3x^4-10x^3-12x^2+122x-39 **Use the complex zeros to write f in factored form.** f(x)= Please show work
  27. calculus

    Find the complex zeros of the polynomial function. Write f in factored form. f(x)=3x^4-10x^3-12x^2+122x-39 Please show wrok, I do not understand how to do this.
  28. Algebra

    Use the rational zeros theorem to list the potential reational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=6x^4+9x^3+30x^2+63x+28
  29. Math-Polynomials/Zeros

    How do I find complex zeros in a an equation if the equation doesn't have the + or - value at the end can th ecomplex zero(s) be made up? I'm getting really confused with complex zeros well zeros in general
  30. algebra

    Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function h(x)=7x^4-9x^3-41x^2+13x+6 if more than one zero, separate with commas. Write exact values, not decimal ...
  31. algebra

    Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function g(x)=5x©ù-28©ø-48x©÷-8x+7 if more than one zero, separate with commas. Write exact values, not decimal ...
  32. Use the rational zeros theorem

    Use the rational zeros theorem to list the potential reational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=6x^4+9x^3+30x^2+63x+28
  33. Polynomial Function

    Could you help me with the following problem, I don't understand how to do it. Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20
  34. college algebra

    use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^3-8x^2-31x-22
  35. pre calculus

    use the rational zeros theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers: f(x)=x^4+2x^3-7x^2-8x+12 I am totally lost, please help?
  36. algebra

    Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)= x^4+6x^3-11x^2-24x+28 Molon
  37. calculus

    use rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^3-8x^2-31x-22 **please show work**
  38. Pre-Calc

    A polynomial function f(x) with real coefficients has the given degree, zeros, and solution point. Degree: 3 Zeros: -2,2+2√2i Solution Point: f(−1) = −68 (a) Write the function in completely factored form. (b) Write the function in polynomial form. Help Please my teacher...
  39. College Algebra

    Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=2x^3-x^2+2x-1
  40. calculus-can someone please help me with this ques

    Find all zeros of the following polynomial. Write the polynomial in factored form. f(x)=x^3-3x^2+16x-48 I put: x^2(x-3)+16(x=3) (x-3)(x^2+16) For zeros: x-3=0 x=0 **My teacher stated check the equation solution again. What is the value for x and hence what is the zero for the ...
  41. Math

    What does the degree of a polynomial expression tell you about its related polynomial function? Explain your thinking. Give an example of a polynomial expression of degree three. Provide information regarding the graph and zeros of the related polynomial function.
  42. College algebra

    Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers f(x)=9x^4+28x^3+66x^2+196x+21 Find the real zeros of f Use the real zeros to factor f f(x)=
  43. Math

    A polynomial function with rational coefficients has the following zeros. Find all additional zeros. 2, -2 + ã10
  44. college algebra

    use rational zeros theorem to find all the real zeros in the polynomial function. use zeros to factor f over real numbers. f(x)=x^3+10x^2-13x-22 find real zeros of f? use real zeros to factor f?
  45. Algebra

    Suppose that a polynomial function of degree 5 with rational coefficients has​ 6, −2+4i, 4−sqrt2 as zeros. Find the other zeros. Thank you!
  46. College algebra

    Use the rationals theorem to find all the zeros of the polynomial function. Use the zeros to factor f over the real numbers, F(x)=7x^3-x^2+7x-1
  47. Precalculus

    Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros
  48. algebra

    p(x)=x^3+2x^2-3x+20 one of this functions zeros is -4 When using synthetic division to find all the zeros of a polynomial function, would you plug in 4 or -4 into the actual equation?
  49. pre-ap Algebra 2

    write a polynomial function f of least degree that has the rational coefficients, a leading coefficient of 1, and the given zeros. Given zeros: -2,2,-1,3, sqrt 11
  50. College algebra

    Use the rationals theorem to find all the zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^3-2x^2-13x-10 x=
  51. Pre Calculus

    1. Find all rational zeros of the polynomial. Then determine any irrational zeros, and factor the polynomial completely. 3x^4-11x^3+5x^2+3x 2. Find the polynomial with leading coefficient 1 that has a degree of 4, a zero of multiplicity 2 at x=1 and a zero at x=2+i
  52. Precalculus

    Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros show work please
  53. college algebra

    use the rational zeros theorem to find all the real zeros of the polynomial function,. use the zeros to factor f over the real numbers. f(x)=11x^3-x^2+11x-1 please show all work
  54. PRECALC

    find all the real and complex zeros of the polynomial P(x)=x^4 -2x^3 -2x^2-2x-3
  55. Algebra

    Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.
  56. algebra

    Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.
  57. algebra

    Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.
  58. Rational Zeros

    List all possible rational zeros for the polynomial below. Find all real zeros of the polynomial and factor f(x)=2x^4+19x^3+37x^2-55x-75
  59. Algebra

    Consider the polynomial: f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.
  60. Math

    Consider the polynomial f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.
  61. Algebra

    Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I got:f(x)=6x^3+24x^2+6x+24
  62. math

    If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial can have? What is the greatest number M ...
  63. math

    If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial can have? What is the greatest number M ...
  64. math

    If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial can have? What is the greatest number M ...
  65. rational zeros theorem

    Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=25x^4+26x^3+126x^2+130x+5 Find the real zeros x= Use the real zeros to factor f f(x)=
  66. Math

    Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial. Degree: 6 Zeros: -6 + 13i^3, -8 + s^2i, -3 - 4i
  67. college algebra

    1. solve the following logarithmic equation log_8(x+8)+log_8(x+7)=2 what is the exact solution 2.se the rational theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers. f(x)=4x^4+5x^3+9x^2+10x+2 a.find the real zeros of f...
  68. Finding polynomial from zeros

    How to find the polynomial degree 2 and zeros are (1+i) & (1-i) I would like to see the steps to solve this. Thanks. If those are the roots, then the following are factors: (x-1-i)(x-1+i)
  69. Math Problem2

    List all possible rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely. Please show all of your work. f(x) = 5x^4 – x^3 - 33x^2 – 43x – 16
  70. Algebra

    find the complex zeros of the polynomial. Write f in factored form: F(x)= 2x^2-5x^3-20x^2+115x-52=0
  71. algebra

    use the rational zero theorem to list the potential rational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=2x^7-x^5+8x^4+52
  72. pre cal

    Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you
  73. Pre-Cal(Please help)

    Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you
  74. Math

    f(x)=x64-4x^2+k. Find the values of k so thath the zeros of f satisfy the specified charachteristics. a.four real zeros b.two real zeros, each of multiplicity of two c.two real zeros and two complex zeros d.four complez zeros a.I don't know if this range goes for this or b. 1&...
  75. Math (Complex Numbers)

    how does one go about solving something such as: conjugate(z+2-3i) = z+5+10i Conjugates of actual complex numbers are very simple, but the inclusion of z trips me up
  76. Math - Possible or Potential rational zeros

    List all possible (or potential) rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely over the real numbers. Please show all of your work. f(x) = x^4 - 7x^3 - 3x^2 + 19x + 14
  77. Math

    Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 x=2 I have no idea how to start this problem!!
  78. potential rational zeros

    list the potential rational zeros of the polynomial function, do not find the zeros. f(x)=x^5-5x^2+4x+3
  79. College Algebra

    1.Give a quadratic function q(x) with a vertex of (-1, 2). 2. Give a function h(x) which does not have an inverse function. 3. Give a polynomial function g(x) with zeros 1,2,3 4. Give an exponential function s(x) passing through (0,2) and (4,1). 5. Give a rational function R(x...
  80. calculus--please help!!

    I have two questions that I don't understand and need help with. 1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f. degree 4, zeros i;9+i 2. form a polynomial f(x) with real coefficients having the given degree ...
  81. algebra

    List all possible or potential rational zeros for the polynomial below find all real zeros of the polynomial below and factor completely over the real numbers. f(x) x^4 + 10x^3 + 12x^2 - 58x + 35 Someone anyone?????
  82. pre cal

    Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 3, -13, and 5 + 4i Urgently need help
  83. Precalc

    The complex number -3 + 2i is one zero for a polynomial function. Which complex number must also be a zero for this function? -3 + 2i 3 + 2i -3 - 2i 3 - 2i I am very confused with what the question is exactly asking. Please help? Thanks
  84. algebra

    Form a polynomial f(x) with real coefficents having the given degree and zeros Degree 5; Zeros: 2; -i;-7+i Enter the polynomial f(x)=a(____) type expression using x as the variable
  85. algebra 2

    Write a polynomial function that has the zeros 2, -2, and -1 and has a leading coefficient of 1. Then graph the function to show that 2, -2, and -1 are solutions.
  86. math

    Find a polynomial f(x) with leading coefficient 1 and having the given degree and zeros. Each polynomial should be expanded from factored form, simplified and written in descending order of exponents on the variable. For example: (x+5)(x-2) should be given as the answer x^2 + ...
  87. college algebra

    form a polynomial f(x) with real coefficients having the given degree and zeros degree 4 zeros 5+3i;3 multiplicity 2 enter the polynomial f(x)=a?()
  88. Math Problem (please help)

    Find all the zeros of the function. When there is an extended list of possible rational zeros, use a graphing utility to graph the function in order to discard any rational zeros that are obviously not zeros of the function. (Enter your answers as a comma-separated list.) f(x...
  89. Math

    Multiply complex conjugates
  90. math

    use the rational zero theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers: f(x)=4x^4+9x^3+30x^2+63x+14 I cant even find sample problems to help me figure this out. help me please?
  91. algebra

    form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:-3 +5i; 2 multiplicity 2 enter the polynomial f(x)=a(?)
  92. pre-calculus

    form a polynomial f(x) with real coefficients having the given degree and zeros. degree 5; zeros -7; -i;-9+i enter the polynomial. f(x)=a(?)
  93. math

    What is an example of a quintic polynomial function that has exactly four zeros?
  94. algebra

    find zeros of a polynomial function
  95. math

    What is an example of a quintic polynomial function that has exactly four zeros?
  96. math

    what is an equation of a polynomial function that has zeros at -3 and -2?
  97. math

    what is an equation of a polynomial function that has zeros at -3 and -2?
  98. algebra 2

    What is the third–degree polynomial function such that f(0) = –18 and whose zeros are 1, 2, and 3
  99. Math

    I just wanted to double check that I am correct. 1.Find the zeros for the function: f(x)= 4(x-3)(x+2)(x-4)^2 Zeros are: 3,-2, 4(multiplicity 2) 2.Find the zeros for the function: f(x)= x^3-9x Zeros are: 0, 3, -3
  100. Use the rationals theorem

    Use the rationals theorem to find all the zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=2x^3-x^2+2x-1
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