Posted by **Jill** on Saturday, January 9, 2010 at 5:48pm.

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 -
**drwls**, Saturday, January 9, 2010 at 7:23pm
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

## Answer This Question

## Related Questions

- Precalculus - "Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the ...
- pre cal - Use synthetic division to show that x is a solution of the third-...
- Algebra II - Which describes the number and type of roots of the equation x^2 -...
- Pre-Cal(Please help) - Use synthetic division to show that x is a solution of ...
- Math - Which describes the number and type of roots of the equation x^2-625=0? A...
- Algebra 2/Trigonometry - How do I solve f(x)=x^3-6x^2+16x-96 using Descartes' ...
- Math ( Pre Calc) - Find all real and imaginary roots of the polynomial equation ...
- math - 1. Consider the function f(x) = x3 + 7x2 + 2x - 40 . a. Find the possible...
- maths2 - Use the discriminant to determine the number of real roots the equation...
- mathematics - Use the discriminant to determine the number of real roots the ...

More Related Questions