SOLUTION: find the rational zeros of f(x)=-x^3-4x^2+11x+30

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Question 604007: find the rational zeros of f(x)=-x^3-4x^2+11x+30
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the rational zeros of
f(x)=-x^3-4x^2+11x+30
f(x)=x^3+4x^2-11x-30
use rational roots theorem:
...0...|.....1.......4.......-11.......-30....
...1...|.....1.......5........-6........-24....
...2...|.....1.......6.........1.........-28....
...3...|.....1.......7........10..........0...( 3 is a root)
f(x)=(x-3)(x^2+7x+10)=(x-3)(x+5)(x+2)
zeros are: -5, -2 and 3