Posted by **Christian** on Sunday, January 13, 2008 at 7:42pm.

Solve: 0 = x3 + 5x2 + 2x – 8

Solve: 0 = x3 – x2 – 11x – 10

- Algebra 2 -
**physics time..**, Sunday, January 13, 2008 at 7:57pm
use your graphing calculator or plot it on a graph

- Algebra 2 -
**Count Iblis**, Sunday, January 13, 2008 at 8:05pm
Use the Rational Roots Theorem.

Suppose

a x^n + b x^(n-1) + .... e = 0

If x is a rational number of the form p/q with p and q integers that don't have factors in common (i.e. the fraction p/q is simplified as much as possible), then p must divide e and q must divide a.

In case of the equation:

x^3 + 5x^2 + 2x – 8 = 0

this means that x = integer that divides 8. x = 1, x= -2 and x = -4 are solutions.

- Algebra 2 -
**Count Iblis**, Sunday, January 13, 2008 at 8:20pm
x^3 – x^2 – 11x – 10 = 0

Assuming again that the roots are rational numbers, it follows from the Rational Roots Theorem that the roots are integers that divide the number 10.

So, the only possible rational roots are:

x = -10, x = -5, x = -2, x = -1, x = 1, x = 2, x = 5, x = 10

Only x = -2 satisfies the equation.

Factoring the polynomial gives:

x^3 – x^2 – 11x – 10 =

(x+2)(x^2 -3x - 5)

The zeroes of the quadratic factor are the other zeroes (you already know that they cannot be rational).

## Answer this Question

## Related Questions

- Intermediate Algebra - Combine like terms: -3x^2+2x-4x^2-9+6x-2x^2+8 Solve for x...
- algebra - Solve with fractions. 6x^(2/3)-11x^(1/3)+4=0 How do I solve? Thanks
- Algebra 2 Help! - 1.) Simplify the expression. [sqrt3 + 2i][sqrt3 - 2i] 2.) ...
- Calculus - I've done everything I can think of to solve this, but I have no idea...
- algebra PLZ HELP!!! - y= 9/11x-17 9x-10y=179 You need to use parentheses to tell...
- algebra - solve for x 8x - 11 = -11x + 18
- algebra - -6-11x=-136 solve
- Algebra......Help Quick!! - 12a^3bc-18a^2bc^2+6a^2c, x^2+20x+36, 12x^4-8x^3-4x^2...
- 9th Grade Algebra - 4x^2-11x+3=5x+4 How do I solve this?
- college algebra - Solve for 3x + 6Y - 9z = 3 5x - 7y + 10z = -4 11x +4y - 6z = 2

More Related Questions