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

Algebra.Com
Question 604007: find the rational zeros of f(x)=-x^3-4x^2+11x+30
Answer by lwsshak3(11628)   (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

RELATED QUESTIONS

Find all the rational zeros of f(x) = 6x^3–3x+11x^2–2. (answered by Fombitz)
Find all the zeros of the polynomial function. f(x) = {{{... (answered by KMST)
Find all the zeros of the polynomial function. f(x) = {{{... (answered by jsmallt9)
Find the zeros of the function... (answered by MathLover1)
find all the REAL zeros of f(x) =... (answered by stanbon)
Find all of the rational zeros of... (answered by Nate)
Find all the rational zeros of f(x)= 4x^3 - 3x^2 - 22x -... (answered by Alan3354,richwmiller)
f(x)= -x^3-11x^2+23x+35 * List all the possible rational zeros of the given... (answered by ikleyn)
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use (answered by stanbon)