# SOLUTION: Solve using the rational root theorem x^4-5x^3+11x^2-25x+30 My Work: p/q= 30/1 30= +- 1, 2, 3, 5, 6, 10, 15, and 30 1= +- 1

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Solve using the rational root theorem x^4-5x^3+11x^2-25x+30 My Work: p/q= 30/1 30= +- 1, 2, 3, 5, 6, 10, 15, and 30 1= +- 1       Log On

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 290969: Solve using the rational root theorem x^4-5x^3+11x^2-25x+30 My Work: 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? x^3-2 x^2+5x-10 1,2,5,10 right. 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.