1. 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
  2. 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,
  3. 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)
  4. 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
  5. math

    List all possible rational zeros of... h(x)= 2x to the (4th power) - 5x (to the third power) + 3x (to the 2nd power) + 4x - 6 Use the Rational Roots Theorem. Any root of the form p/q with p and q relatively prime must be such that p divides 6 and q divides
  6. Math

    Find all possible rational roots using the rational root theorem. x^4 - 3x^2 + 12 = 0 Plus/minus 1, 2, 3, 4, 6, 12?
  7. 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
  8. Pre-Calc-Please check

    Is this correct? Using Rational Roots Theorem, list all possible rational root of f(x) = 2x^3 - 3x^2 + 5x+6 Possible roots are p/a = -+1, -+2, +-3, -+6. -+3/2
  9. algebra

    using the rational root theorem to list all possible rational roots of the polynomial equation x^3-x^2-x-3=0 possible answers -3,-1,1,3 1,3 -33 no roots
  10. 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
  11. 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
  12. 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
  13. 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.
  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

    use the rational root theorem to list the possible rational roots for each of the following equations f(x)=x^2+2x+1 f(x)=x^2-2x+5 f(x)=x^2+4x-5
  16. Pre-Calc-Please check

    I have three questions: 1. What is the remainder of (x^3 + 2x^2 - 5x+4) /(x-3) I think the answer is 34?? 2. Evaluate (4+5i)(2+2i) =4(2) +4(2i) + 5i(2) + 5i(2i) = 8 + 8i + 10i+10i^2(-1) =-2 + 18i 3. Using Rational Roots Theorem, list all possible rational
  17. Math

    Find all possible rational roots using the rational root theorem. 3x^3 + 2x^2 - 1 = 0 plus/minus 1/3 and plus/minus 1?
  18. 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
  19. algebra

    3x^4 + 5x^2 - 2 = 0 give imaginary and real roots rational roots theorem factors of (+-)p/q are possible rational zeros of function f where the coefficients of f are integers. how do you go about solving this?
  20. Algebra

    Use the Rational Theorem to list the possible rational roots. f(x)=x^2+2x+1 f(x)=x^2-2x+5 f(x)=x^2+4x-5
  21. Precalculus

    I'm HOPING this is the last problem I need help on.. :-/ List the possible rational zeros of f using the rational zero theorem. f(x) = 2x^3 - x^2 + 5x + 6 I applied the rational zero theorem, but none of the factors worked :(
  22. math

    Still having problems solving this... 2x(2x + 1)^2 = 312 I started with: 2x(2x+1)(2x+1)-312 = 0 2x(4x^2+4x+1)-312 = 0 8x^3+8x^2+2x -312 = 0 Now what? If you don't have to solve for x, then then you have the final answer! If you have to find x: then you
  23. algebra 2

    list all the possible rational roots of P(x) given by the Rational Root Theorom. P(x)=4x^4-2x^3+x^2-12
  24. 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
  25. algebra

    According to the rational root theorem, which is not a possible rational root of x3 + 8x2 x 6 = 0?
  26. Math

    According to the rational root theorem, which is not a possible rational root of x3 + 8x2 x 6 = 0? 4 2 <-- or 1? 5 1 What os 3x^4+2x^3-5x^2-4 divided by x+2 3x^3-4x^2+3x-6+8/x+2 <--? 3x^3-4x^2+3x-6+8/x-2 factor x^3+2x^2-9x-18 given that -2 is a zero
  27. Math

    According to the rational root theorem, which is not a possible rational root of x3 + 8x2 x 6 = 0? 4 2 <-- or 1? 5 1 What os 3x^4+2x^3-5x^2-4 divided by x+2 3x^3-4x^2+3x-6+8/x+2 <--? 3x^3-4x^2+3x-6+8/x-2 factor x^3+2x^2-9x-18 given that -2 is a zero
  28. ALGEBRA

    SIMPLIFY: 5 ROOT OF 6X +4 ROOT OF 6X IS THE ROOT OF 77 IRRATIONAL OR RATIONAL? SIMPLIFY: 8 + ROOT OF 24 DIVIDED BY 2 IS THE ROOT OF 49/100 RATIONAL OR IRRATIONAL AND IS THE ROOT OF 121 RATIONAL OR IRRATONAL? SIMPLIFY: ROOT OF 3X/2 THANKS IN ADVANCE!!!I AM
  29. Math - Rational Roots

    1.) What are the possible rational roots of the function f(x) = 3x^4 - x - 2 2.) What are the rational roots of the following equation: x^3 - 4x^2 - 4x +16 = 0 Thank you for any help!
  30. Math

    Which of these rational numbers does the Rational Roots Theorem say can't be a solution to 14x7 + 13x5 − 19x4 + 7x2 − 6x − 21 = 0? A. 3/2 B. 2/7 C. -1 D. -(1/2)
  31. Algebra

    Does anyone know the significance of the rational zero test? Is it the rational root test? I can find the rational root test, but I don't know where I can find the reason for the rational zero test. Any clue?
  32. algebra 2

    Factor completely with respect to the integers. 1. 9x^2 - 4 2. x^3 + 64 3. 200x^2 - 50 4. 8x^3 - 64 5. x^3 + x^2 + x + 1 6. x^3 - 2x^2 + 4x - 8 7. 2x^3 + 4x^2 + 4x + 8 8. 2x^3 + 3x^2 -32x - 48 9. 7x^3 + 14x^2 + 7x 10. 6x^3 - 18x^2 - 2x +6 11. 3x^4 - 300x^2
  33. Pre-Calculus

    Hello, I have tried solving this using the rational roots theorem and none of the roots seem to be working. I'm trying to figure out where I went wrong. 3x^3 -2x^2 - 7x - 4 = 0
  34. Advanced Math.

    List the possible rational roots of 2x^3 + 17x^2 + 23x - 42 = 0 My answer: the possible rational roots are {±1, ±2, ±3, ±6, ±7, ±14, ±21, ±42. ±1/2, ±3/2, ± 7/2, ±21/2}. Correct?
  35. Math

    1. Estimate The Value Of (Square Root 52) to the nearest whole number A. 9 B. 8 C. 7~~~ D. 6 2. Identify all the sets to which the number 3.1214122144 Belongs A. Rational B. Irrational~~~ C. integer, Rational D. Whole Number, integer, rational 3. Which Of
  36. Math

    List all possible rational roots, use synthetic division to find an actual root, then use this root to solve the equation. x^3 -7x^2 +13x -7=0
  37. math

    Use the rational zero theorem, Descartes rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the following equation: 4x^(3)-17x^(2)+16=0
  38. Math

    1. Is square root of negative 10 irrational or rational? 2. Is 2.79797979... irrational or rational? I'm not very good at identifying irrational and rational numbers at least I tried too. 1. irrational 2. rational
  39. Math

    A jewelry box is designed such that its length is twice its width and its depth is 2 inches less than its width. The volume of the box is 64 cubic inches. Use synthetic division to find the roots of the polynomial equation. Are the roots all rational
  40. 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
  41. 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
  42. ALGEBRA

    CAN YOU PLEASE HELP, I AM STUCK..THANKS FIND THE DISTANCE BETWEEN (-3,2) AND (1,4) DETERMINE WHETHER THE ROOT OF 77 AND THE ROOT OF 121 IS RATIONAL OR IRRATIONAL. THANKS IN ADVANCE, I APPRECIATE ALL OF THE HELP.... The distance between a,b and c,d is
  43. Algebra

    Using rational zero theorem find all rational zeros P(x)=3x^3+43x^2+43x+27 Factors: 27, -1, 3, 9, 27 Factors: 3, -1, 3 +-1/3, +-1, +-3, +-9, +-27 possible rational zero for function P(x)
  44. math-intergral upper bound

    This one has me stumped. Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1 So by the rational root theorem, 1 and -1 might be roots. by using synthetic division, i get the following values: for f(-1)=-1 f(0)=1 f(1)=1 f(2)=5
  45. College Algebra

    Use rational root theorem and the factor theorem to help solve the following equation X4-2x3-13x2+38x-24=0
  46. Math Help!!!

    1. Which of these numbers can be classified as both real and rational? ½ -1.016879413894 Square root of 5 0.89089908999 2. Which is both a real number and an integer? Square root of 7 0.15 -15 1/3 3. Which is an example of an irrational number? Square
  47. Algebra

    Please check my answers. Thanks! Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. 5.2x^3-13x^2+22x-8=0 -My answer:{1/2,2,4} 6.x^3-8x^2-x+8=0 -My answer: {1,-1,8} Find the rational
  48. Math

    Suppose p and q are odd integers. (a) Show that the quadratic equation x2 + px + q = 0 has no rational roots. (A number á is a “root” of that equation if: á2 + pá + q = 0. A number is rational if it is expressible as m/n for some integers m and n. )
  49. Algebra

    I posted this problem last night and some one told me I was wrong. Today, two of my group members have the same answers for this problem. Can some one tell us what or where we went wrong? Using rational zero theorem find all rational zeros
  50. pre-calculus

    Use the rational root theorem with polynomial division if needed to find all the zeroes of:     P(x)=2x^4-3x^3+3x^2+5x-3.
  51. calculususe the rational zeros theorem to list the

    use the rational zeros theorem to list the potential rational zeros of the potential function. Do not attempt to find the zeros. f(x)=2x^5-x^3+8x^2+52
  52. Math

    Using the words listed below fill in the blanks with the correct number type Real Number, Rational Number, Integer, Whole Number, Irrational Number 3) 0.12 - Rational and Real number I am not sure about the rest. Am I correct on this? 4)
  53. Algebra 2

    Use the rational root theorem to determine which of the following could not be a root of 6x^3+23x^2-6x-8=0 I need all of the steps. Thanks
  54. 7th grade math Ms.Sue please

    1. Which of these numbers can be classified as both real and irrational? 5.858585858 63.4 square root 21 square root 36 2. Which is both a real number and an integer? 23 1 over 4 square root 27 3.402538 3. Which of these numbers is classified as both real
  55. Rational root theorem

    X^3+5x^2-9x-45
  56. math

    Which number can be added to a rational number to explain that the sum of two rational numbers is rational? a: pi b: 3 7/8 c: square root of 8 d: square root of 47
  57. 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
  58. math

    1. Which of the following numbers is a rational? A. 4/5 B. square root of 27 C. 4.02002000200002... D. Square root of 31 2. Which type of number is shown below? 0.313311333111... A. repeating decimal B. rational C. irrational D. terminating decimal 3.
  59. math Please help!!

    1. Which of the following numbers is a rational? A. 4/5 *** B. square root of 27 C. 4.02002000200002... D. Square root of 31 2. Which type of number is shown below? 0.313311333111... A. repeating decimal B. rational *** C. irrational D. terminating decimal
  60. math

    1. Which of the following numbers is a rational? A. 4/5 **** B. square root of 27 C. 4.02002000200002... D. Square root of 31 2. Which type of number is shown below? 0.313311333111... A. repeating decimal B. rational C. irrational*** D. terminating decimal
  61. Math

    1. Which of the following numbers is a rational? A. 4/5 B. square root of 27 C. 4.02002000200002... **** D. Square root of 31 2. Which type of number is shown below? 0.313311333111... A. repeating decimal B. rational C. irrational **** D. terminating
  62. Math

    1. Which of the following numbers is a rational? A. 4/5 B. square root of 27 C. 4.02002000200002... **** D. Square root of 31 2. Which type of number is shown below? 0.313311333111... A. repeating decimal B. rational C. irrational **** D. terminating
  63. maths

    Prove that if p and q are rational and p is not equal to 0, the roots of the quadratic equations p x(square) + 2qx -p +2q = 0 are rational.
  64. algebra

    Use the rational zero theorem to list all possible rational zeros for the given function f(x)=x^3-4x^2-19x-14
  65. College Algebra 105

    use the rational zero's theorem to list the potential zero's of the polynomial function. Do not attempt to find the zero's f(x)=-169x^7-x^6+x+13 and then the second part is find the potential rational zero's.
  66. algebra

    Can a quadratic equatioon with rational coefficient have one rational root and one inrrational root?
  67. math help

    how do prove that this equation has rational roots for all rational values of K 3x^2+kx-k=3x
  68. math

    which of these numbers can be classified as both rational and real? a. 1/2 b. -1.016879413894 c. square root of 5 d. 0.89089908999 which is both a real number and an integer? a. square root of 7 b. 0.15 c. -15 d. 1/3 what is an example of an irrational
  69. algebra

    list all the possible rational zeros of f using the rational zero theorem. then find all the zeros of the function. 1. f(x)=x^2-6x+5 2. f(x)=x^3+x^2-10x+8
  70. math

    If a b c are non zero,unequal rational numbers then prove that the roots of the eqn (abc²) x²+ 3a²cx+b²cx-6a²-ab+2b²=0 are rational.
  71. pre-calculus

    partial fraction; use the rational roots theorem to factor denominator. x^3 + 2 ----------- x^4 +8x^2 +16 i got to that and im stuck Ax+B + Cx+D ---- ----- x^2 +4 x^2 + 4
  72. algebra 2

    List all possible rational zeros of each function. f(x)=4x^5+4x^2-9 Find all rational roots of each function f(x)=2x^3+x^2+8x+4
  73. alg 2

    list all the possible rational zeros of f using the rational zero theorem. Then find all the zeros of the function. f(x)=x^3+4x^2+9x+36
  74. MATH

    1. Which of these numbers can be classified as both real and rational? 1/2 -1.016879413894 Square root: 5 0.89089908999 2.Which is both a real number and an integer? Square root 7 0.15 -15 1/3 3. What is an example of an irrational number? Sqre root:
  75. colag

    use the rational zero theorem and descartes’ rule of signs to assist you in finding all real and imaginary roots for x^4+2^3-3x^2-4x+4=0
  76. 7th grade math Ms. Sue please

    2. Shelly sews a blanket that has an area of 170 square feet. It has 30 square blocks, each the same size. What is the approximate length of each side of a block? (1 point) 1 foot 2 feet 3 feet 4 feet 3. Which of these numbers can be classified as
  77. math

    1. Rosa, Roberto, Andrea, and Inno find an estimate for the square root of 10. Who has proposed the best solution? a. Rosa: "Use the sqaure root of 9 and the square root of 25 to estimate." b. Roberto: "I will use the square root of 4 and the sqaure root
  78. 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
  79. Precalculus

    Show that the equation x^3+ x^2-3=0 has no rational roots, but that it does have an irrational root between x=1 and x=2
  80. Algebra

    Use the rational zero theorem to find all rational zeros, and use those zeros to write f(x) = 2x^4-x^3-9x^2+4x+4
  81. 7th grade math Ms. Sue ASAP please

    Ms. Sue, sorry to keep bugging you with questions, but can you please check my answers? Sorry, I just want to get my answers correct when i turn it in thanks! 8. Four students work to find an estimate for square root 37. Who is closest to finding the true
  82. MATH

    1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? (1 point) Rosa: "Use square root 9 and square root 25 to estimate." Roberto: "I will use square root 4 and square root 9." Andrea: "It should be
  83. Calculus

    We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any
  84. Algebra

    which of these numbers can be classified as both real and irrational? 1. 5.858585858 2. 63.4 3. root 21 4. root 36 which is both a real number and an integer? 1. 23 2. 1/4 3. root 27 4. 3.402538 which of these number is classified as both real and
  85. Algebra 2

    i am stuck. Prove that if a and b are rational numbers, (a + ^b)3 + (a - ^b)3 is also rational. ^ = sq root sign Thanks
  86. 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.
  87. 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.
  88. algebra

    Anyone? Prove that if a and b are rational numbers, (a + ^b)3 + (a - ^b)3 is also rational. ^ = sq root sign Thanks
  89. ALGEBRA

    SIMPLIFY. ROOT OF 500 SIMPLIFY.ASSUME ALL VARIABLES REPRESENT POSITIVE NUMBERS. ROOT OF X^4Y^3 DECIDE WHETHER ROOT OF 49/100 IS RATIONAL OR IRRATIONAL 500= 100*5 sqrt x^a y^b is x^(a/2) y^(b/2) what is the square root of 7, of 100? are they rational?
  90. math help me!!

    is square root of 56 a rational number? explain uranswer using what you know about rational and irrational numbers. thnx alot!
  91. 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
  92. 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
  93. PLEASE CHECK MATH TY!

    1. Which of these numbers can be classified as both real and rational? A. 1/2 *** B. -1.016879413894 C. √5 D. 0.89089908999 2.Which is both a real number and an integer? A. √7 B. 0.15 C. -15 *** D. 1/3 3. What is an example of an irrational number? A.
  94. Algebra

    name to which subset of the real numbers wo which each number belongs 2/3 = Rational -1 = Integer 17/4573 = rational square root of 113 = Irrational
  95. 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
  96. 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
  97. 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
  98. 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
  99. 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
  100. Math

    Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. -2x^4+4x^3+3x^2+18