1. 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
  2. Polynomial Fucntion Problem

    Could you help me with the following problem, I don't understand how to do it. Am I suppose to use the linear factorization theorem? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 my answer ...
  3. Math-college

    Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. n=4; i and 3 i are zero; f(-2)=65 f(x)= An expression using x as the variable. Simplify your​ answer.
  4. 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
  5. Math-college

    Can you please help with this one. Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. n=4 2 i and 4 i are zeros; f(-1)=85 f(x)= ​(Type an expression using x as the variable. Simplify your​ answer.)
  6. 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
  7. algebra

    Find a polynomial function of least degree with real coefficients satisfying the given properties. zeros -3, 0, and 4 f(1) =10
  8. College Algebra

    Find a Quadratic polynomial function with real coefficients satisfying the given conditions. -4 and 3 are zeros; f(1) = -30 HELP. I have no idea.
  9. 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 ...
  10. Algebra

    Find the polynomial function P of the lowest possible degree, having real coefficients, with the given zeros. 3+2i, -2 and 1
  11. pre-calculus math

    A polynomial f(x) with real coefficients and leading coefficient 1 has the given zeros and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coefficients that are irreducible over . 3, −3 − 2i;    degree 3
  12. Form a polynomial f(x) from coefficient and it's 0

    Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree: 4; zeros: 6i and 7i I completely don't know what to do with this problem... if someone can solve and give a good explanation, I'd appreciate it. Thanks.
  13. Algebra ll

    Please help!! I do not understand any of this!! Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 2, multiplicity 2; 3i
  14. Algebra ll

    Please help!! I do not understand any of this!! Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 4; zeros: 8,-6-i
  15. Algebra ll

    Please help!! I do not understand any of this!! Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 3; zeros: 8, -6-i
  16. 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...
  17. Math

    find a third degree polynomial function with real coefficients -2+i and -4 zeros
  18. 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?()
  19. 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
  20. 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(?)
  21. 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(?)
  22. Pre-Calculus

    Find a polynomial with integer coefficients that satisfies the given conditions. P has degree 2 and zeros 2 + i and 2 − i.
  23. Algebra

    Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -1,3+i f(x)=
  24. algebra 3

    Find a polynomial of lowest degree with only real coefficients and having the given zeros. -2+i, -2-i, 3, -3
  25. Math

    A polynomial function f(x) has degree 6 and has real coefficients. It is given that 3, 2, 11−3i, and 11+28i are roots of f(x). What is the sum of all the roots of f(x)?
  26. math (precalc)

    Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 3 − 4i and 5, with 5 a zero of multiplicity 2.
  27. pre-calculus

    information is given about the polynomial f(x) whose coefficients are real numbers. find the real zeros of f: degree 4; zeros: i, 3+i
  28. pre calc

    A polynomial f(x) with real coefficients and leading coefficient 1 has zeros 6 + 4i, -5 + i and degree 4. Express f(x) as a product of quadratic polynomials with real coefficients that are irreducible over R. ive done this problem every which way i could. specifically i ...
  29. Algebra

    Determine a polynomial function of degree 3 with real coefficients whose zeros are ƒ{2, 1+i .
  30. Math - Int Trig

    Form a polynomial f(x) with real coefficients having the given degree and zeros 21) Degree: 4, zeroes: 2i and -3i 22) Degree: 3, Zeroes i and -10
  31. pre calculus

    use given info about a polynomial whose coefficients are real numbers to find the remaining zeros. Degree: 6 so I know there's at least 6 zeros:-5-isqrt7, 13 + 2ni, -5 - 3i (where n is a real number) any ideas??????
  32. algebra

    write a fourth degree polynomial function with real coefficients that has -3,1/5, and 4+i as zeros and the y intercept of (0,5)
  33. Algebra

    Form a third degree polynomial function with real coefficients such that 2+i and -5 are zeros. f(x)= ?
  34. Algebra

    Form a third degree polynomial function with real coefficients such that -7 + i and -9 are zeros
  35. 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
  36. heeeelp math

    Find the number of polynomials f(x) that satisfy all of the following conditions: f(x) is a monic polynomial, f(x) has degree 1000, f(x) has integer coefficients, f(x) divides f(2x^3+x)
  37. heeelp math2

    Find the number of polynomials f(x) that satisfy all of the following conditions: f(x) is a monic polynomial, f(x) has degree 1000, f(x) has integer coefficients, f(x) divides f(2x^3+x)
  38. Algebra

    Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 2-i,sqrt2 f(x)= ? Thanks!
  39. Algebra

    Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. sqrt of 3, 4 Thanks!
  40. Calculus

    Form a polynomial, f(x) with real coefficients having the given degree and zeros. Degree: 4 ; Zeros: 4i and 5i Really need help! don't know where to start.
  41. calculus

    form a polynomial with real coefficients have given degree and zeros. degree 5, zeros 9, -i; 8+i please show work
  42. college algebra

    Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree 3; zeros: 1 + i and -10
  43. College algebra

    Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i f(x)=a( )
  44. College Algebra

    Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i F(x)=a ( )
  45. College Algebra! help!

    Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -4; -i; -2+i f(x)=a( )
  46. algebra 2

    write a polynomial function of least degree that has real coefficeints the given zeros and a leading coefficient of 1. the problem is 5,2i,-2i
  47. Algebra

    Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros:1;-i; -7+1
  48. Algebra

    Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: 4; zeros: -1, 2, and 1-2i
  49. Algebra

    Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: 4; zeros: -1, 2, and 1-2i
  50. Algebra

    Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 5; zeros: 9, 3+5i, -9i
  51. PreCalculus

    Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as zeros. Find the other zero( s): -1, radical 3, 11/3
  52. pre-calculus

    form a polynomial f(x) with real coefficients having the given degree and zeros. degree: 4; zeros: -1, 2, and 1-2i. I got an exam tomorrow, i would appreciate any kind of help, thank you.
  53. Form a polynomial f(x)

    Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i f(x)=a( )
  54. Form a polynomial f(x)

    Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i F(x)=a ( )
  55. Form a polynomial

    Form a polynomial f(x) with real coefficients having the given degree and zeros Degree 5; zeros: -8; -i; -8+i
  56. Math

    Find a polynomial of degree 3 with real coefficients and zeros of -3, -1, and 4, for which f(-2) = 24.
  57. 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-...
  58. Math - Fundamental Theorem

    We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odd-degree polynomial with real coefficients must have atleast one real root (since the non-real roots must come in conjugate pairs). But how can we get the same conclusion by ...
  59. AMath

    Write a polynomial function of minimum degree in standard form with real coefficients whose zeros include those listed 2, 3 and i.
  60. Algebra

    Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. sqrt of 3 and 4i disregard the first post, thanks!
  61. Precalculus

    Which of the following cannot be the number of nonreal zeros of a polynomial of degree 5 with real​ coefficients? A. 2 B. 0 C. 3 D. 4 E. None of the above
  62. Math

    find a polynomial of least degree(having real coefficients) with zeros: 5, -2, 2i
  63. ALGEBRA

    Find a degree 3 polynomial with real coefficients having zeros 2 and 4-3i and a lead coefficient of 1.
  64. college algebra

    form a polynomial f (x) with real coefficients having the given degree and zeros. degree 5; zeros 5; -i; -6+-i f(x)= a(?) Please show step by step work.
  65. Pre-calculus

    Sorry i wrote the last question wrong, it was suppose to be written as: information is given about the polynomial f(x) whose coefficients are real numbers. find the remaining zeros of f: degree 4; zeros: i, 3+i
  66. Pre cal

    Fine a third degree polynomial function f(x) with real coefficients that has 4 and 2i are zeros and such that f(-1) =-50 4 21 -2i (x-4)(x-2i)(x+2i) (x-4)(x2+4) x3-16+4x-4x2 (x3-4x2+4x-16) -50=a(-1-4-4-16) -50=.25 a=2 Not understanding, please help
  67. Polynomiials

    Find a polynomial function with real coefficients that has the given numbers as roots: 4, 0, 3, italic i a)x^4-4x^3 +9x^2-36x b)x^3-4x^2 -3x+12 c)x^3-4x^2 +3x-12 d)4x-4x^3 -9x^2 +36x My gut instinct is either b or c but I could be wrong. If it were b or c, x=0 would not work. ...
  68. Linear Algebra

    Let R5[t] be the vector space of all polynomials in t of degree 4 or less with real coefficients. Which of the following subsets are subspaces? I know how to test if something is a subspaces, just not sure how to do it with for these polynomial equations. a.) {p(t)|the ...
  69. Linear Algebra

    Let R5[t] be the vector space of all polynomials in t of degree 4 or less with real coefficients. Which of the following subsets are subspaces? I know how to test if something is a subspaces, just not sure how to do it with for these polynomial equations. a.) {p(t)|the ...
  70. poloynomial function

    Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 1) -2, -1, 1 2) i, 4 3) i, 2 - √3 4) 1, 4, 1 + √2
  71. Algebra 2

    Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros 2, 2i, and 4-sqrt 6
  72. Math (Algebra)

    For each degree 17 polynomial f with real coefficients, let sf be the number of real roots (counted with multiplicity). Let S be the set of all possible values of sf. What is |S|?
  73. algebra

    Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros. degree: 6 Zeros: -8 + 11x(can't put this sign in looks like ii with slash over)i, -7 + 17i, 16 - isqrt 2
  74. Algebra

    Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.    3-i,sqrt2 f(x)=??
  75. college algebra--need help please!!

    information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.
  76. college algebra--need help please!!

    information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.
  77. college algebra--need help please!!

    information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.
  78. Precalculus

    Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed. 2(multiplicity 2), -4(multiplicity 3)
  79. Precalculus

    Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed. 3(multiplicity 2), 5+i(multiplicity 1)
  80. Precalculus

    Find a polynomial with real coefficients that has the given zeros. -1 and 4-5i
  81. 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
  82. algebra

    Find an equation of a polynomial function of degree 5 with integer coefficients with zeros 0, -2, and 1/2.
  83. math

    Find an equation of a polynomial function of degree 5 with integer coefficients with zeros 0, -2, and 1/2.
  84. math

    third-degree polynomial with real coefficients -4 -3
  85. Math

    The twice–differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)=3 f′(0)=5 f″(0)=7 a)The function g is given by g(x)=e^ax+f(x) for all real numbers, where a is a constant. Find g ′(0) and g ″(0) in terms...
  86. Math - polynomial function

    Write a polynomial function with integral coefficients having the given roots. 1.) 0, -1/2, 6 2.) +or- 5i
  87. PreCalc

    Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros −3, 0, 1, 4; coefficient of x3 is 4
  88. Calculus I

    Section Antiderivatives: Find the function f(x) satisfying the given conditions. f''(t) = 4 + 6t, f(1) = 3, f(-1) = -2
  89. Math Algebra

    Find a polynomial p(x) with real coefficients having the given zeros. 6,-14, and 4+3i
  90. calculus-- need help desperately!

    The Taylor series about x=5 for a certain function f converges to f(x) for all x in the interval of convergence. The nth derivative of f at x=5 is given by f^(n) (5)= (-1)^n(n!)/((2^n)(n+2)), and f(5)=1/2. Write third degree Taylor polynomial for f about x=5. Then find the ...
  91. Algebra

    Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 6, and –2 + 3i as zeros. Find the remaining zero. A. –6 B. –2 – 3i C. 0 D. 2 + 3i
  92. MATH

    write, in extended form, a polynomial(with real coefficients) of degree 3, with solutions 2,2-i.
  93. CAlculus

    Find the linear function satisfying the given conditions. g(2) = 9 and the graph of g is perpendicular to the line 4x − 2y = 3. g(x) =
  94. College Algebra

    Find a polynomial function f(x), with real coefficients, that has 1 and 3+2i as zeros, and such that f(-1)=2 (Multiply out and simplify your answer)
  95. 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!!
  96. Math Help Please

    Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 3, and 1 –2i as zeros. Find the remaining zero. A. –2 B. –1 – 2i C. 0 D. 1 + 2i
  97. algerba 2

    write the polynomial function of least degree that has real coefficeents the given zeros, and a leasing coefficiennt of 1. 1,-3,4
  98. Math

    Create a 3rd degree polynomial with real coefficients that has roots -1 and 4i. Write your answer in form ax^3 + bx^2 + cx+ .
  99. Math

    Create a 3rd degree polynomial with real coefficients that has roots -1 and 4i. Write your answer in form ax^3 + bx^2 + cx+ d .
  100. 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
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