Pre-cal

posted by .

let P(x)=2x^4-x^3+13^2-8x-24. Use synethetic division to show that x+1 is a factor of P(x)

Answer:2x^3-3x^2+16x-24

Then find all real and imaginary roots of P(x)=0.

  • Pre-cal -

    Have you learned about synthetic (or polynomial) division?

    If not, you should. The following reference should help.

    One of the roots of P(x) = 0 will be x = -1, since x+1 is a factor. To get the other three roots, you need to solve the cubic equation
    2x^3 -3x^2 +16x -24 = 0

    That will not be easy.
    You will find some hints here:
    http://oakroadsystems.com/math/polysol.htm

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Which describes the number and type of roots of the equation x^2-625=0?
  2. Algebra II

    Which describes the number and type of roots of the equation x^2 -625=0?
  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 …
  4. Pre-Cal(Please help)

    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 Value of x = -4 Please …
  5. pre cal

    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 Value of x = -4 Please …
  6. math

    1. Consider the function f(x) = x3 + 7x2 + 2x - 40 . a. Find the possible rational roots of f(x) = 0. b. Use synthetic division to divide f(x) by x - 2. Show all your work. Use your answer to explain whether or not x – 2 is a factor …
  7. Math ( Pre Calc)

    Find all real and imaginary roots of the polynomial equation 3x^4-x^3+4x^2-2x-4=0
  8. 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)
  9. 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)
  10. 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?

More Similar Questions