math

posted by .

solve the polynomial inequality and graph the solution set on a real number line. set in interval notation.
x^3+2x^2-4x-8>0

I have been staring at this problem for the last 15 minutes because I just don't understand it, somebody please help me?

  • math -

    x^3+2x^2-4x-8 > 0
    (x+2)^2 (x-2) > 0

    Now, you know that the graph touches the x-axis at x = -2 and cross it at x=2

    Since y<0 for large x<0, that means that y<0 for x < -2, and stays <0 up to x=2, where it crosses the x-axis.

    So, the solution set is x>2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra II

    I need some help with some problems as well as need some checked. Could you please help me?
  2. Math inequalitites

    Hi, I need some help with some inequalitites. Thanks!! Use graphs to find the set. 1.(-9,0) intersection [-4,] I got [-4,0) 2. (-9,0) U [-4,10] I got (-9,10] Solve the linear inequality. Other than (empty set, use interval notation …
  3. algebra

    solve the inequality. Express the solution using interval notation and graph the solution set on the real number line x-4/x^2-4 greater or equal to O
  4. college algebra

    1. find the equation of the line with the given properties. Express the equation in general form or slope-intercept form. perpendicular to the line -3x_y= -27; contains the point (9, -1) the equation of the line is ?
  5. math

    solve the polynomial inequality and graph the solution set on a real number line. express the solution set in interval notation x^3+x^2+64x+64>0 show work please
  6. math-please help,need quickly

    solve the polynomial inequality and graph the solution set on a real num ber line. express the solution set in interval notation x^3+x^2+64x+64>0 please show work
  7. Solve the polynomial inequality

    Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. x^3+x^2+4x+4<0 The solution set is=
  8. Algebra

    Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation x^3+x^2+16x+16>0 What is the solution set?
  9. algebra

    Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation x^3+x^2+16x+16>0 What is the solution set?
  10. math/algebra

    Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation x^3+x^2+16x+16>0 What is the solution set?

More Similar Questions