1. Pre-Calculus

    Find all of the fifth roots of 32i?
  2. pre calc

    find the fifth roots of -32i
  3. Precalculus

    "Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and -1, but I can't figure out how to get the imaginary roots. I checked
  4. college algebra

    Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 this is my answer am I right. check this for me it find the roots of the problem
  5. Algebra 2

    How do I solve polynomial equation by finding all complex roots? The problem is: factor each expression and find all complex roots of x^3+64 I got as far as x^3+64=(x+4)(x^2-4x+16) Now how do i find the roots of (x+4) and the roots of (x^2-4x+16) Thanks
  6. algebra

    Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 check this for me it find the roots of the problem.
  7. algebra

    Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 check this for me it find the roots of the problem.
  8. Math, factoring

    Two of the roots of x^4 +ax^3 +ax^2+11x+b=0 are 3 and -2. 1. Find the value of a and b 2. Find the other roots. I believe that a = -3 and b = -6. I am unsure of how to find the other roots. Please show how you found the answer.
  9. Math

    Roots Ok, what about roots? Roots of polynomials? Square roots? Cube roots? Terminology, notation, equations using them? Help us out here a little.
  10. MATH

    if f (x) is a polynomial of degree 3 whose roots are p,q,r. FIND f (3) if sum of cubes of roots is 0 and sum of squares of roots and sum of roots are unit digit of 3^2018 and 5^50666666666 respectively?
  11. Alegbra 2

    Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with rational coefficients has the
  12. Algebra

    Given the roots, 1/2 and 4, find: (A) The quadratic equation 2x^2-9x+4 ? (B) The sum of the roots 4 1/2, or 9/2 (C) The product of the roots 2 Are these answers correct?
  13. Math

    How to factor x^3 - 3x^2 + 4 =0 Use D'Alembert's Rational Roots Theorem. Any rational roots of the form of p/q (p and q assumed to be relatively prime) must be such that p divides the constant term (in this case 4) and q divides the coefficient of the
  14. algebra

    Factor this polynomial: F(x)=x^3-x^2-4x+4 Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3). The rational roots can thuis be +/1, +/2 and +/4. If you
  15. Algebra

    The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots such that the squares of the roots are the same as the two roots. Calculate the product pq. I think the obvious root would be one but the second roots i just can't figure out!
  16. Pre calculus

    Find all roots f(x)- x^3+2x^2-15x+30 Factor f(x) completely. I can't find any roots and always get a remainder with 1, -1, 2, -2 What do you do if you cannot find a root?? Using Calc button on ti84 I got X= -5.619 Y=1.4E-11 Still can't find zeros...
  17. precalc

    express the roots of unity in standard form a+bi. 1.) cube roots of unity 2.) fourth roots of unity 3.) sixth roots of unity 4.) square roots of unity
  18. precalculus

    express the roots of unity in standard form a+bi. 1.) cube roots of unity 2.) fourth roots of unity 3.) sixth roots of unity 4.) square roots of unity
  19. College Algebra--Still Confused

    I have a few problems I need help with and also do have multiple choice. If I can have an explanation of how to get the answer that would be great. 1. Use the discriminant to determine whether the given equation has two irrational roots, two rational
  20. Algebra 2

    1) Find the roots of the polynomial equation. x^3-2x^2+10x+136=0 2) Use the rational root theorem to list all problem rational roots of the polynomial equation. x^3+x^2-7x-4=0. Do not find the actual roots.
  21. Math

    A math teacher wrote x^2+bx+c=0 on the board and asked students to find the two real roots. Alice miscopied one of the coefficients and found that 1 and 4 were the roots. Andy miscopied a different coefficient and found that -2 and 3 were the roots.
  22. Pre-Calc/Trig...

    Helpp needed, this is sort of confusing me. Describe the nature of the roots for this equation. 2x^2-x+1=0 A. Two real, rational roots B. Two real, irrational roots C. One real, double root D. Two complex roots
  23. College Algebra

    I have a few problems I need help with and also do have multiple choice. If I can have an explanation of how to get the answer that would be great. 1. Use the discriminant to determine whether the given equation has two irrational roots, two rational
  24. Alg II

    I'm working with finding roots of polynomial equations with degrees of 3 or higher. I have the equation r(x)=x^4-6x^3+12x^2=6x-13 I used a graphing calculator to find the real roots of 1,-1 Then I did synthetic using -1, and I ended up with the equation
  25. Alg II

    I'm working with finding roots of polynomial equations with degrees of 3 or higher. I have the equation r(x)=x^4-6x^3+12x^2=6x-13 I used a graphing calculator to find the real roots of 1,-1 Then I did synthetic using -1, and I ended up with the equation
  26. algebra

    if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? A-2 real, rational roots B-2 real, irrational roots C-1 real, irrational roots D-2 imaginary roots
  27. Calculus

    relative extrema x^4-2x^2+5 so far I know how to find the derivative which is 4x^3-2x now I am stuck... Please help Huh? 4x^3-2x=0 2x(2x^2-1)=0 and what are the roots? I will give you a hint: one is x=0 The other two are in the second parenthesis. Is it
  28. Biology

    Which of the following statements correctly compares the functions of a plant's roots and stem? The stem contains a high percentage of cells that provide structural support, unlike the roots. The stem is the first part of the plant to emerge from a seed,
  29. Pre Cal

    Use Descartes’ Rule of Signs to find the number of possible positive, negative, and nonreal roots for the equation, 4x^3+7x^2+7x+3=0 a. 0 positive, 0 negative, 3 non real roots b. 0 positive, 1 or 3 negative, 0 or 2 non real roots c. 0 positive, 1 or 3
  30. Adv algebra

    The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots such that the squares of the roots are the same as the two roots. Calculate the product pq.
  31. Math

    The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots such that the squares of the roots are the same as the two roots. Calculate the product pq.
  32. Algebra2

    Find the polynomials roots to each of the following problems: #1) x^2+3x+1 #2) x^2+4x+3=0 #3) -2x^2+4x-5 #3 is not an equation. Dod you omit "= 0" at the end? #2 can be factored into (x+1)(x+3) = 0, so the roots are x=-1 and -3. #1 Use the quadratic
  33. Algebra II

    Which describes the number and type of roots of the equation x^2 -625=0? A. 1 real root, 1 imaginary root B. 2 real roots, 2 imaginary roots C. 2 real roots D. 4 real roots. I have x^2 = 625 x = 25 answer: 2 real roots (25 or -25) Is this correct? Thanks
  34. Math

    I can't remember how you find the roots of quadratic equations other than determining the zeroes of the equation and finding the x-intercepts. Can someone please give me a clear answer on this as my dad has been useless on this topic and I need help like
  35. algebra 2

    Suppose the polynomial f(x) has the following roots: 1+6sqrt2, 2−sqrt6, and 6+sqrt2. If f(x) has only rational coefficients, the Irrational Root Theorem indicates that f(x) has at least three more roots. What are the three additional roots that f(x) must
  36. math urgent

    Find the result if the sumn of the roots of y= x^2+3x-5 is added to the product of the roots.
  37. Edge ah am us ,maths

    if the sum of the roots and product of the roots of ax^3-6x2+2ax-3b=0 is 3&6 respectively.Then find a and b.
  38. Edagahamus, subject maths

    if the sum of the roots and product of the roots of ax^3-6x2+2ax-3b=0 is 3&6 respectively.Then find a and b.
  39. Math

    Please help me with this question. 4x^2-3x-3 = 0 has roots p, q. Find all quadratic equations with roots p^3 and q^3. I think I do know how to do it but no matter how many times I try, I could never get the right answer. Please help me!!
  40. edagahamus com.sec.school

    if the sum of the roots and product of the roots of ax^3-6x2+2ax-3b=0 is 3&6 respectively.then find a and b.
  41. Math

    Find all integer roots of f(x). Identify any double roots. f(x) = 2x4 + 11x3 + 13x2 - 11x - 15
  42. Math

    Find all integer roots of f(x). Identify any double roots. f(x) = 3x4 - 16x3 + 31x2 - 26x + 8
  43. Math- polynomial functions

    State the number of complex roots of each equation then find the roots. I cant figure out these two! 1. 3x - 5 =0 2. c^2 + 2c + 1 = 0
  44. Math

    determine the value(s) of k which the equation x^2+kx+9=0 will have a) two real roots b) 2 distinct roots I tried to find the discriminant but I didn't get the right answer.
  45. math

    the roots of 2x^2 - 3x = 4 are a and b. find the simplest quadratic equation which has roots 1/a and 1/b
  46. maths

    If 5x4-14x³+18x²+40x+16=(x²-4x+8)(ax²+bc+c) find a,b and c and hence find the four solutions of the equation 5x4-14x³+18x²+40x+16 Given that x³-1=(x-&)(ax²+bx+c) find the values of a,b and c and hence find the three roots of the equation x³=1
  47. amath

    The roots of the quadratic equation x^2-mx+n=0 ,where m and n are integers ,are a and 1/4a. (i)Find the sum and product of its roots (ii)show that 4m^2=25n How to do part 2 ?
  48. math

    If the roots of ax^2+bx+c=0 are 6 and 9, then the roots of 3ax^2+3bx+3c=0 are A. 2 and 3 B. 6 and 9 C. 18 and 27 D. -2 and -3 I think since you multiply by 3, the roots are multiplied by 3, but I'm not sure.
  49. Math 11th Grade

    Use Demoivre's Theorem to find the fourth roots of -16. Leave the four roots in trigonometric form. How the heck do i do this?
  50. algebra

    k is uniformly chosen from the interval (-5,5) . Let p be the probability that the quartic f(x)=kx^4+(k^2+1)x^2+k has 4 distinct real roots such that one of the roots is less than -4 and the other three are greater than -1. Find the value of 1000p.
  51. Math

    determine the value(s) of k which a quadratic equation x^2+kx+9=0 will have. a) two equal real roots b) 2 distinct roots I tried to find the discriminant but couldn't get the right answer
  52. Algebra 2/Trigonometry

    How do I solve f(x)=x^3-6x^2+16x-96 using Descartes' Rule of Signs to find the number of positive and negative real roots, along with imaginary roots, but not with a graph?
  53. mathematics

    Use the discriminant to determine the number of real roots the equation has. 3x2 – 5x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)
  54. maths2

    Use the discriminant to determine the number of real roots the equation has. 7x2 + 3x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)
  55. further mathematics

    The roots of the eqn, x^4 + px^3 + qx^2 + rx + s = 0 where p, q, r, s are constants and s does not equal to 0, are a, b, c, d. (i) a^2 + b^2 + c^2 + d^2 = p^2 -2q (in terms of p & q) (ii) 1/a + 1/b + 1/c + 1/d = -r/s (in terms of r & s) (iii) using the
  56. Algebra II

    Find the exact solution to 6x^2+1= -8x by using the Quadratic Formula. Answer: -4 +/- sqrt 10 2)Which describes the number and type of roots of the equation x^2-625=0? Answer: 2 real roots 3)If g(x)=3x-8, find g[g(-4)] Answer: -20
  57. Calculus

    1. Use the Mean Value Theorem to find an x-value where the instantaneous slope=average slope over the given interval: f(x)=(9-x^2)^(1/2) on [-3,2] I have done three chapters of Calculus already and I never have had to check for extraneous roots. So, my
  58. Math

    how many roots does this polynomial have: f(x) = 5x^3 + 8x^2 -4x + 3 and Of the possible rational roots, which ones are roots: ±1, ±(1/5), ±3, ± (3/5)
  59. maths-equadratic eqn

    one of the roots of the quadratic equation x^2-(4+k)x+12=0 find, 1)the roots of the equation 2)the possible values of k please show your workings thanks in advance.
  60. trig

    Find the indicated roots. Write the answer in trigonometric form. Fourth roots of 256(cos 220° + i sin 220°)
  61. ALGEBRA 2

    Use the Rational Root Theorem to list all possible rational roots for each equation. Then find any actual roots. x^3 + 2x^2 + 3x + 6 = 0 (8 points)
  62. Math

    State the number of complex roots,possible number of real roots and possible rational roots for x^5 - x^3 - 11x^2+ 9x+18=0
  63. math

    I HAVE THESE ANSWERS FOR THE PROBLEMS. COULD YOU DOUBLE CHECK PLEASE, THIS IS A PRACTICE QUIZ WHICH ISN'T A GRADE IT JUST HELPS ME GET READY FOR THE TEST. 1) a 2) b 3) d 4) a 5) d 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i, –2 –2i, –2 b) 2 + i,
  64. Math - Find all roots

    Find all roots: #1.) 2x^3 + 5x^2 - 22x + 15 = 0 #2.) x^4 + 4x^3 + 6x^2 + 8x + 8 = 0
  65. Cubic Equations

    I have three that I need help with if possible. 1. Solve 2x^3 - 3x^2 = 6x - 9 2. Find all real and imaginary roots of the polynomial equation 3x^4 - x^3 + 4x^2 - 2x - 4=0 3. Find a cubic equation with integral coefficients and roots 3i and -5.
  66. math

    Still looking at how to solve these... Both are cubic polynomials? 43x^3 + 13x^2 + 18x - 456 = 0 DO I divide first by x-1? 2x(3x+2)^2=312 Honestly: I would graph the equations and find the roots first. I don't see them off hand. graph y=43x^3 + 13x^2 + 18x
  67. Math-find roots

    1.One root of each equation below is the same for both equations. what is this root? a.3x^4 + 14x^3 + 8x^2=0 b.18x^4 - 50x^2=0 2. Find the other roots of each equation in question 1
  68. maths

    Show that the equation (1) divided by (x+1) - (x)divided by (x-2)=0 has no real roots Well, to begin, start with 1/(x+1-x). The x's cancel out because they are opposite signs, so now you have 1/1, or just 1. Then, you are dividing 1 by (x-2). In order for
  69. Math

    Given that the equation x(x-2p)=q(x-p) has real roots for all real values of p and q. If q=3, find a non-zero value for p so that the roots are rational.
  70. math

    Could you please solve so I can double check my answers for the practice quiz? Thank You!! 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i, –2 –2i, –2 b) 2 + i, 2 – i, –2 c) –2 + i, –2 – i, –2 d) 2 + 2i, 2 – 2i, –2 2. Find the
  71. Math

    If A=<2,1> and B=<-1,1>, find the magnitude and direction angle for -2A +3B Find all specified roots: Cube roots of 8i A parallelogram has sides of length 32.7cm and 20.2cm. If the longer diagonal has a length of 35.1cm, what is the angle
  72. Algebra

    I need ansewer asap There are a famous irrational nummber calld euler's number,often symbolized with an e. Like pie it never seems to end. The first few digits of e are 2.7182818284. Bettween which two square roots of integers could you find this number?
  73. Math

    Can someone please explain this problem to me? I would appreciate it very much. 1. y=x^2 - 2mx + (2m + 3) 2. D= b^2 - 4ac 3. D= (-2m)^2 - 4(1)(2m - 3) 4. 4m^2 - 8m + 12 5. 4(m^2 - 2m + 3) 6. 4(m + 1)(m - 3) m (> or = to) 3, m (< or = to) -1 Then you
  74. Roots and Pre-cal

    Find the roots of the function f(x)= x^2 +2x+2 a)-1 + sq root of 2 and -1 - sq root of 2 b) -1 + i and -1 - i c)-1 -2i sq root of 2 and -1-2i sq root of 2 d)-1 +2i and -1-2i The i's are in italics but I can't .make them in italic here for some reason
  75. Old Factor qstn:BobP

    Bob, I did eventually find a factorization for the expression x^4 + 2x^3 + 4x^2 + 8x +16 The original problem was probably something like x^5-32=0. I think the poster divided (x-2) into it to get the expression above. This of course is the 5th roots of 32,
  76. Pre calculus

    For the equation 2x^2-5x^3+10=0 find the number the number of complex roots and the possible number of real roots.
  77. math

    (1)given that -2x^2+6x+7=0, if alfa and B are the roots of the equation, form new equation whose roots are(a)alfa/B and B/alfa (b)alfa/B^2and B/alfa^2(b) if alfa and B are the roots of the equation 4x^+8x-1=0. find the values of alfa^3 B+alfaB^3
  78. Precalculus 11

    Determine the value of the discriminant and then state the nature of the roots. x^2-8x-9=0 root 28 is the discriminant 2 different roots is the nature of the roots Is that correct? Thanks a ton! :)
  79. how many solutions are real?

    hi, I am stuck on this question. y=x^2+4x and y^2= 25x^2+20x+3 how many of the solutions are real? and how many of the real roots are positive and how many are negative? thank you for any suggestions I suggest you solve for the roots. y=x(x+4) At y=0, what
  80. precal

    Hi I know is is probably basic but can anyone assist with the following : Find all real Roots, expressing as whole # and # under radical sign, not as fraction. and factor completely f(x)= X^3-2x^2-15x+30 I got roots at 2 (x-2) and +/- √5 If someone
  81. ^Math.^ Pls,I need help

    QUESTION: Find the quadratic equation,which has difference of roots equal to 2 and the difference of the squares of roots equal to 5
  82. Math help please

    In this problem you will use Rolle's theorem to determine whether it is possible for the function f(x) = 8 x^{7} + 7 x - 13 to have two or more real roots (or, equivalently, whether the graph of y = f(x) crosses the x-axis two or more times). Suppose that
  83. Math

    I can't seem remember the rules for this.Can someone please help me with the following questions? You can find the roots of a quadratic equation by determining the zeros of the quadratic function or the ...? You can find the roots of a quadratic equation
  84. Algebra help plz

    If € , ß are the roots of the equation 2x^2 + 4x - 3 = 0 and €^2 , ß^2 are the roots of the equation x^2 + px + q = 0, find the value of p.
  85. Math

    Help. If p and q are the roots of the equation 2x^2-x-4=0. Find the equation whose roots are p-(q/p) and q-(p/q). Working please
  86. Precalculus /Algebra

    Hi I know is is probably basic but can anyone assist with the following : Find all real Roots, expressing as whole # and # under radical sign, not as fraction. and factor completely f(x)= X^3-2x^2-15x+30 I got roots at 2 (x-2) and +/- √5 If someone
  87. Algebra 2

    I am trying to factor a 4th degree polynomial that does not have any rational roots. I need to somehow get it factored into two quadratics. Anyone know of a method to use. 3x^4 - 8x^3 - 5x^2 + 16x - 5 Two of the irrational roots are 1.135.. and 0.382.. but
  88. Pre-Calculus/Trig Check please and help

    Could someone please check the first one and help me with the second one. I'm stuck-Thank you 1.What are theroots of the following polynomial equation? (x+2i)(x-5)(x-2i)(x+8) = 0 I think the roots are -2i,5,2i,-8-you take out the roots as opposites of what
  89. Algebra

    1.What is the nature of th roots of f(x) = x^2 + 4x+16-I think it is two conjugate complex roots because it is -2+-2isquare root 3? 2.Nature of roots of f(x) = X^2 + 2x+1 it would be one double root,correct? I get confused with doing these sometimes, just
  90. Math

    Which describes the number and type of roots of the equation x^2-625=0? A)1 real root, 1 imaginary root B)2 real roots, 2 imaginary roots C)2 real roots D)4 real roots I went with A sqrt x^2= x (which would be the imaginary) and sqrt 625= 25 (the real)
  91. maths

    find the roots of the equation X(square)+7x equal to 0.(b)write down the equation whose roots are -2 and 5. I will be happy to critique your thinking. Write the equation, and solve. In the second, hint: (x+2) is one factor.
  92. calc

    by applying rolle's theorem, check whether it is possible that the function f(x) = x^5 + x -17 has two real roots. your reason is that if f(x) has two real roots then by rolle's theorem, f'(x) must be equal to what at certain value of x between these two
  93. 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
  94. Alg 2

    By what amount does the sum of the roots exceed the product of the roots of the equation (x-7)(x+3)=0? I have no idea what to do!
  95. math

    The roots of the eqn x^4 - 3x^2 + 5x - 2 = 0 are a, b, c, d, and a^n + b^n + c^n + d^n is denoted by S~n. The equation of the roots a^2, b^2, c^2, d^2 is y^4 - 6y^3 + 5y^2 - 13y + 4 = 0. State the value of S~2 and hence show that S~8 = 6S~6 - 5S~4 + 62.
  96. math

    If the sum of the roots of 2 x squared - 6 x + 7 equals zero is multiplied by the product of its roots the result is
  97. maths

    If one of the roots of the eqn ax²+bx+c=0 be reciprocal of one of the roots of a1x²+b1x+c1=0 then prove that (a a1-c c1)²=(b c1-a b1)(b1 c- a1 b)
  98. Precalculus

    What is the smallest positive integer $n$ such that all the roots of $z^4 + z^2 + 1 = 0$ are $n^{\text{th}}$ roots of unity?
  99. Precalculus

    What is the smallest positive integer $n$ such that all the roots of $z^4 - z^2 + 1 = 0$ are $n^{\text{th}}$ roots of unity?
  100. Precalculus

    What is the smallest positive integer $n$ such that all the roots of $z^4 + z^2 + 1 = 0$ are $n^{\text{th}}$ roots of unity?