# Solving Polynomial Functions With a Degree of 4

• Mar 2nd 2009, 04:17 PM
DaCoo911
Solving Polynomial Functions With a Degree of 4
i am doing some exam prep for my functions class but i can't seem to remember how to solve equations with a degree of 4 or higher. Here is the example i am working on. Thank in advanced.

2x^4 + 11x^3 + 9x^2 – 14x – 8 = 0
• Mar 2nd 2009, 04:42 PM
wytiaz
Use synthetic division on suspected roots to confirm they are roots and reduce the power of the polynomial remainder.

For this particular problem, a trick:

When all of the coefficients of a polynomial sum to 0, then 1 is one of the roots. Confirm with division and then work on the third degree polynomial that remains.
• Mar 4th 2009, 11:27 AM
mathceleb
If you want to solve the long way, use this calculator here that shows the 4 real roots and how to get there:

Solving Quartic Equations

This shows how to break the quartic into a cubic and go from there if you decide not to take the synthetic division route.