Question 290969: Solve using the rational root theorem x^4-5x^3+11x^2-25x+30
p/q= 30/1 30= +- 1, 2, 3, 5, 6, 10, 15, and 30
1= +- 1
possible rational roots = 1, 2 ,3, 5, 6, 10, 15, 30
I have discovered that 3 is a root. I used synthetic division and got a remainder of zero. Now what do i do? Answer by richwmiller(9144) (Show Source):
You can put this solution on YOUR website! Yes it is.
What did you get after synthetic division?
Do the same thing and find the other real root.
After this you will get a quadratic equation and you can use the quadratic formula to find the complex roots or factor it.
You should be able to factor it by grouping which is unFOILing.