1. K

    polynomials need ASAP

    construct a polynomial with the following properties: Third degree, zeros at 1,2,3, and passes through the point (4,12)
  2. J

    4th Degree Polynomial

    How to factor this function? y = x^4 + x^2 + 2
  3. O

    Polynomial Remainder Theorem

    Hi, I hope someone can provide me with some clarification. I'm trying to find the remainder for a dividend of x^2+9x-7. I already have information regarding the quotient and divisor: (x + 3) and (x + 5). It's unknown which one is the quotient or divisor, but I don't think that's relevant...
  4. F

    Specific case of 5th degree polynomial equation

    I know that for the nth degree polynomial equation (where n>4) there is no general solutions. I wonder if it possible to solve special case of 5th degree polynomial equation which lacks linear and quadratic terms. a1x5 + a2x4 + a3x3 = b, where a1,a2,a3, and b are positive real numbers. any...
  5. H

    degree, minute, seconds

    the definition of degree, minutes, seconds in relation to angle has got something do with hour, minutes and seconds in relation to time? Please explain.
  6. M

    Pursuing a degree in math.

    Hello guys, I assume many of you know me from my countless posts on the Algebra sections of the forums. Anyways, I really want to pursue a field in mathematics. Currently, I am a tutor and SI leader for mathematics at my junior college. I will be transferring to a UC within a year and a half. I...
  7. R

    Degree of accuracy (Polynomial interpolation)

    Degree of Lagrange polynomial and error Can you help me? Consider the function f(x)=e^{x-1} on the interval 0\leq x\leq1. For all N=1,2,... we have the uniform partition x_i=ih, i=0,1,...,N, h=1/N. If we want to use Lagrange polynomial to make an approximation of f(x), what should be the...
  8. F

    How to write a spanning set for a polynomial of degree three

    How do I get from p to the spanning set? I understand how to get here. p(x) = (x-2)(x-3)(ax+b) How do I get to the spanning set in the image above? I really need to see it step-by-step.
  9. C

    Polynomial of the 4th degree.

    I have to determine P(x) polynomial of the 4th degree if i know 4 of his points: (-2, 4a+8), (-1, a-8), (0, -4), (1, a+2), (2, 4a+16) a is real number. For which value of a polynomial has two roots whose product equals 2? I know that this means following: P(-2)=4a+8 P(-1)=a-8 and so...
  10. E

    Determining Degree of Unknowns in Polynomial

    x^2(y + z) = 3 or x^2y+x^2z=3 : x; x and z; x, y, and z; I got the polynomial as being of degree 2 in x, 3 in x and z, and 4 in x, y, and z. However, the book says x, y, and z are degree 3. My question is how is this so, or is the book wrong? I am adding together the 2 from x^2 and each 1 from...
  11. A

    I'm confused. Characteristic polynomial of degree less than n... Impossible? well...

    The characteristic polynomial of a matrix M\in \mathbb{F}^{n\times n} must be of degree n, as far as I know. Consider the following matrix M\in (\mathbb{Z}_2)^{2\times 2}: M=\begin{pmatrix}1&1&0\\1&0&0\\0&0&1\end{pmatrix} If we try to calculate its characteristic polynomial, we get...
  12. H

    Trigonometry 180 degree???

    Trigonometry is an area that deals with right angled triangle, why do they have sin 180 degrees, cos 180 degrees when the right angle is only 90 degrees.
  13. M

    Request help graphing high degree polynomial

    I am working on a Java project where I have implemented an interest rate solver using the Newton and Secant methods. The TVM formula and associated use of solver methods have been tested and proofed. I would like to graph the TVM equation which takes financial variables and solves to zero. The...
  14. C

    What is the last step figuring out what to do in this 4th degree formala derivation

    I would like to figure out what to do in the next couples steps to finish up the solution. See the attachment: Thank you, Cbarker1
  15. R

    23° 20' 48" is the same as ____ °. Round to the nearest hundredth of a degree.

    23° 20' 48" is the same as ____ °. Round to the nearest hundredth of a degree. Is my math correct here (Is this how you are supposed to solve these problems)?: 23(degrees)+(20/60)+(48/3600)=23.34666667 rounded to nearest hundredth of a degree would be: ANSWER: 23.35 Please explain. Thank you!
  16. R

    23° 20' 48" is the same as ____ °. Round to the nearest hundredth of a degree.

    23° 20' 48" is the same as ____ °. Round to the nearest hundredth of a degree. Please explain.
  17. A

    does e^nx = (1 + x)^n to first degree of x

    I think I am supposed to use the Maclaurin Series for both sides: {e}^{nx} = 1 + nx{e}^{nx} and {(1+x)}^{n} = 1 + nx So is the answer that in the lim x-> 0 it is true because {e}^{nx} -> 0 Thanks :)
  18. D

    CHI square test - finding degree of freedom

    can someone please explain why the degree of freedom of this question is v=2 ?
  19. D

    CHI square test - finding degree of freedom

    i have problem of finding the degree f freedom for this question. the ans for v is 3 , but my ans is v=n-1 , where n = 6 , so my v=5...
  20. Y

    Second Degree Polynomial

    Can somebody check if I've done this exercise correctly? If not could you tell me what is wrong? Given the function f(x) = ex . Find second degree polynomial p(x) = ax2 + bx + c that satisfies p(0) = f(0), p'(0) = f'(0), p''(0) = f''(0). p(x) = ax2 + bx + c p'(x) = 2ax + b p''(x) = 2a f(x) =...