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

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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) About Me  (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
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The coefficients add up to zero so x=1 is a root.
Use synthetic division to find the other roots.
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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
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Cheers,
Stan H.

Answer by scott8148(6628) About Me  (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)