SOLUTION: Find all the rational zeros of the function h(x)=3x^5+2x^4-3x-2

Question 203695This question is from textbook College Algebra
: Find all the rational zeros of the function h(x)=3x^5+2x^4-3x-2 This question is from textbook College Algebra

Found 2 solutions by stanbon, scott8148:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all the rational zeros of the function h(x)=3x^5+2x^4-3x-2
-----------------------------------
The coefficients add up to zero so x=1 is a root.
Use synthetic division to find the other roots.
------------------------------------------
1)....3....2....-3....-2
.......3....5.....2...|..0
Quotient: 3x^2 + 5x + 2
Find the zeroes:
3x^2+3x + 2x+2 = 0
3x(x+1) + 2(x+1) = 0
(x+1)(3x+2) = 0
x = -1 or x = -2/3 or x = 1
======================================
Cheers,
Stan H.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
factoring ___ x^4(3x + 2) - 1(3x + 2) ___ (x^4 - 1)(3x + 2) ___ (x^2 + 1)(x^2 - 1)(3x + 2) ___ (x + i)(x - i)(x + 1)(x - 1)(3x + 2)
RELATED QUESTIONS
What are the possible rational zeros of this function? {{{ h(x) = 3x^5 + 2x^4 - 3x - 2 (answered by ikleyn)
List the possible rational zeros of the function: f(x)= {{{3x^5 + 2X^2 - 3X +... (answered by stanbon)
Using the rational zeros theorem, list all possible rational zeros for the given... (answered by ReadingBoosters)
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the... (answered by richwmiller)
List the possible rational zeros of the function using the rational zero theorem g(x)=... (answered by Edwin McCravy)
Please help me, I'm so confused! List the possible rational zeros of the function... (answered by jim_thompson5910)
find the zeros of the given rational function f(x) = (x^2 - 3x - 4) / (x -... (answered by josgarithmetic)
Find all the zeros of {{{f(x)=2x^5-5x^4+3x^3-3x^2+x+2}}} (answered by jim_thompson5910)
list all the possible zeros of the rational function f(x)=2x^5-3x^2+8 a. 1,2,4,8 b.... (answered by Fombitz)