# Math - Real number system

posted by .

Solve the following equation in the real number system. Please show all of your work.

x^4 + 6x^3 + x^2 - 24x - 20 = 0

Help!!!!

• Math - Real number system -

Let f(x)=x^4+6x^3+x^2-24x-20
Real roots are looking for among
+-1,+-2,+-4,+-5,+-10,+-20
f(-1)=1-6+1+24-20=0
Divide f(x) by (x+1):
f(x)=(x+1)(x^3+5x^2-4x-20)
Let g(x)=x^3+5x^2-4x-20
g(-5)=-125+125+20-20=0
Divide g(x) by (x+5):
g(x)=(x+5)(x^2-4)

f(x)=(x+1)(x+5)(x+2)(x-2)

• Math - Real number system -

what is 2/5 in the real number system

## Similar Questions

1. ### Math

Solve the following equation in the complex number system. Please show all of your work. x^4 – 13x^2 – 90 = 0
2. ### math

The number of real solutions to the system of equations y=2sin(x^2) and y=x^3-x is a. 0 b. 1 c. 2 d. 3 Please show your work! Thank you!
3. ### college algebra

Solve the following equation in the real number system. Please show all of your work. 2x^3-3x^2-14x+15=0
4. ### college alegebra

solve the following equation in the real number system 3x^3 - 20x^2 + 29x +12 = 0 Ok I thought I knew how to do this but I guess I don't. Help me! Please!
5. ### pre calculus

solve the following equation in the complex number system Please show all your work. 5x^5 + 32x^4 - 5x - 32 = 0
6. ### college algebra

Solve the following equation in the complex number system. Please show all of your work. 2x^5-3x^4-32x+48=0
7. ### college algebra--need help please!!

solve the equation in the real number system. 2x^4-23x^3+75x^2-88x+28=0 What are the real solutions of the equations?
8. ### calculus

Solve the equation in the real number system X^4+11x^3+24x^2-23x+35=0 Please show work