Precal
posted by Jill .
let P(x)=2x^4x^3+13^28x24. Use synethetic division to show that x+1 is a factor of P(x)
Answer:2x^33x^2+16x24
Then find all real and imaginary roots of P(x)=0.

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