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Write a polynomial of least degree with real coefficients and with the root -6-8i. Write your answer using the variable x and in standard form with a leading coefficient of 1. Thanks, I have no idea!

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  1. Algebra 1

    Write a polynomial of least degree with real coefficients and with the root –5+13𝑖
  2. Algebra

    Write a polynomial of least degree with real coefficients and with the root -6-8i. Write your answer using the variable x and in standard form with a leading coefficient of 1. Thanks, I have no idea!
  3. 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
  4. 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
  5. 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
  6. Mathematics

    Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root 3-i
  7. 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
  8. ALGEBRA

    Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root 3-7i P(x)= x^2 - __x +__
  9. MATH

    write, in extended form, a polynomial(with real coefficients) of degree 3, with solutions 2,2-i.
  10. 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)
  11. 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 .
  12. 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+ .
  13. Pre Calc

    Write an equation to a polynomial function that has the following properties: Fourth degree equation Lead coefficient is -2 Two negative real roots and one positive real root The positive real root has multiplicity of 2
  14. 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
  15. AMath

    Write a polynomial function of minimum degree in standard form with real coefficients whose zeros include those listed 2, 3 and i.
  16. 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.
  17. 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.
  18. Algebra

    A student claims that -4i is the only imaginary root of a quadratic polynomial equation that has real coefficients. a. What is the student’s mistake? (2 points) b. Write one possible polynomial that has the correct roots from part a in standard form. (3
  19. Math

    Write a polynomial of the lowest degree with real coefficients and with zeros 6-3i (multiplicity 1) and 0 ( multiplicity 5)
  20. 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)
  21. 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)
  22. algebra!!!! please help me!!!!

    A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example, √2 is algebraic because it is a root of the polynomial x^2−2. The number √(2+√3+√5)is also algebraic because it is a
  23. 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?()
  24. 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(?)
  25. Algebra 2

    write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i
  26. Algebra

    Given these zeros, write a polynomial function of least degree with integral coefficients. 2i, 2 + 2.236
  27. 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|?
  28. Pre calc

    Find the polynomial function f with real coefficients that has given degree, zeros, and solution point. Degree: 3 Zeros: -2,1- root of 2i Solution point: f(-1)=-54
  29. Precalculus

    write a polynomial function in standard form with real coefficients whose zeros include 4, 7i, and -7i
  30. Math (Algebra)

    A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example,√2 is algebraic because it is a root of the polynomial x^2−2. The number √2+√3+√5 is also algebraic because it is a root
  31. Pre-Calc

    A polynomial function f with real coefficients has zeros of 2, -4, and 1. The polynomial also contains the point f(-1) = 6. Write the function in both factored form and polynomial form.
  32. Pre-Calculus

    Find a polynomial function with integer coefficients with degree 4, one root 3+radical2, and another root 4-3i. I got x^4-14x^3+80x^2-206x+175 I'm I correct?
  33. 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
  34. math

    third-degree polynomial with real coefficients -4 -3
  35. Precalculus

    For our homework we had to read this one section which demonstrated the location principle (just in case this has a different name, I'll post it here:) "If P(x) is a polynomial with real coefficients and a and b are real numbers such that P(a) and P(b)
  36. 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(?)
  37. Math

    So how do you write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros with is problem: 5 and 4 + √2
  38. 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
  39. Math

    Given that the quadratic polynomial f(x)=3x^2+ax+b has real coefficients and f(x)=0 has a complex root 8+5i, what is the value of a+b?
  40. mathematics

    1. How many real roots does y=x^3+x^2+9x+9 have? 2. If you know that a 6th degree polynomial has at least 5 complex roots, how many complex roots does it have in total? 3. A polynomial function has 3 real roots and 4 complex roots. What is the degree of
  41. Algebra

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

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

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

    Find the discriminant for the quadratic equation f(x) = 5x^2 - 2x + 7 and describe the nature of the roots. discriminant is 144, one real root discriminant is -136, two complex roots
  45. Algebra

    Identify a cubic polynomial with integer coefficients that has 2^(1/3) + 4^(1/3) as a root. I tried solving it but my polynomial ended up having non-integer coefficients. I just can't think of a way to find it so that my polynomial has integer
  46. 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
  47. Math urgent

    Find a degree 6 polynomial with - 8 as a root, no other roots, and in which the coefficient of x^6 is 16. Assume that all (non-constant) factors of the polynomial correspond to real zeroes.
  48. math 111 urgent please help

    Find a degree 6 polynomial with - 8 as a root, no other roots, and in which the coefficient of x^6 is 16. Assume that all (non-constant) factors of the polynomial correspond to real zeroes.
  49. Algebra

    f(x)is a monic cubic polynomial with real coefficients. f(x) has 7+4i as a root and f(0)=−2145 . What is the coefficient of x in f(x) ?
  50. Algebra

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

    Form a third degree polynomial function with real coefficients such that -7 + i and -9 are zeros
  52. 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
  53. algebra 3

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

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

    find a third degree polynomial function with real coefficients -2+i and -4 zeros
  56. Algebra 2a

    Help please! 1. What are the real or imaginary solutions of the polynomial equation? x^4-52x^2+576=0 A) 4,-4 B) 4,-6 C) 4,-4,6,-6 D) no solutions 2. What are the real or imaginary solutions of the polynomial equation? x^3=216 A) -6,3+3i(sq root of 7), and
  57. Algebra

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

    Find a degree 3 polynomial with real coefficients having zeros 2 and 4-3i and a lead coefficient of 1.
  59. 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
  60. Math

    Write the equation of lowest degree with real coefficients if two of its roots are -1 and 1+i. The answer is x^3-x^2+2=0. I don't understand why.
  61. pre calc

    Write an equation of lowest degree with real coefficients with the given zeros root2, 3i Please help! I don't understand this at all..
  62. 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??????
  63. algebra

    Find a polynomial function of least degree with real coefficients satisfying the given properties. zeros -3, 0, and 4 f(1) =10
  64. 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.
  65. 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.
  66. 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.
  67. 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.
  68. math

    Form a polynomial​ f(x) with real​ coefficients, with leading coefficient​ 1, having the given degree and zeros. Degree: 4; zeros: -4+3i and 1; multiplicity of 2
  69. 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
  70. Algebra 2

    1. Write a polynomial in standard form that has solutions: 0, -2, 3 2. Write a trinomial that has a degree of 4 and a lead coefficient of -3 3. True of false: 3/x^2 is a polynomial expression
  71. 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
  72. calculus

    form a polynomial with real coefficients have given degree and zeros. degree 5, zeros 9, -i; 8+i please show work
  73. 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.
  74. Mathematics

    Find the polynomial function f with Real coefficients that has the given degree 3 zeros -2, 1-sqrt 2i, and solution point -42
  75. 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
  76. Algebra

    Find a polynomial equation with real coefficients that has the given roots. 5 and -7i Write a polynomial equation with roots 5 and -7i x^3 - __ x^2 + __ x -__ = 0
  77. Math

    What are the coefficients in the polynomial 4x^2+3x-3? I'm not posting this to get the exact answer, I just need help on finding the coefficients. I'm not real good with polynomials, and I've been struggling a little. I just need explaining on how to find
  78. College Algebra

    Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree​ 4; ​ zeros: -5+3i; -3, multiplicity 2
  79. College Algebra

    Form a polynomial​ f(x) with real coefficients having the given degree and zeros. Degree​ 4; ​ zeros: 2​, multiplicity​ 2; 3i
  80. 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
  81. Math Help? Check my answers.

    1. Name the coefficients in the polynomial. 4x^2 + 3x - 3 4, -3, -3 4, 3, 4, 3, 3, -4, -3, 2. How many terms are in the following polynomial? 6x^4 + 3x^3 - 2x^2 + 15x - 14 5 4 3 2 3. In the expression -7x - 5x^2 + 5, what is the coefficient of x? 7 5 -5 -7
  82. 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
  83. mathematics

    Find a polynomial function P of the lowest possible​ degree, having real​ coefficients, a leading coefficient of​ 1, and with the given zeros. 2plus2i​, minus1​, and 2
  84. Algebra

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

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

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

    Form a polynomial f(x) with real coefficients having the given degree and zeros Degree 5; zeros: -8; -i; -8+i
  88. 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 ( )
  89. 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( )
  90. 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 ( )
  91. 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( )
  92. 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( )
  93. College Algebra

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

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

    For a polynomial f (x) with real coefficients having the given degree and zeros. Degree 4; zeros 4+2i ; 4 multiplicity 2
  96. 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
  97. 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.
  98. Pre-calculus-check answers

    Write the polynomial equation of least degree that has the roots: -3i, 3i, i, and -i. Answer: (x+3i)(x-3i)(x-i)(x+i)=x^4+x^3-x^3i+9x^2+9x-9xi-9i 2)Determine if the expression 4m^5-6m^8+m+3 is a polynomial in one variable. If so, state the degree. Answer:
  99. Math

    1. add or subtract {4x^2+15x-3}-(3x^2+5) a.7x^2+15x-8** b.x^2+12x+2 c.x^2+15x-8 d.7x^2+8 2. Simplify the polynomial -3f^2+4f-3+8f^2+7f+1 a.5f^2-11f+2 b.11f^2+11f+2** c.5f^2+11f-2 d.-5f^2+11-2 3. Add or subtract (2x^2+6x+1)+(-7x^2+2x-3) a.5x^2-4x-2
  100. 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.)

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