SOLUTION: Answer the following equation 8x^3+34x^2 -29x+5=0 A. List all rational roots that are possible according to the Rational Zero Theorem. All Rational Zeros: B. B. Use sy

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Question 1011731: Answer the following equation
8x^3+34x^2 -29x+5=0
A. List all rational roots that are possible according to the Rational Zero Theorem.
All Rational Zeros:
B. B. Use synthetic division to test several possible rational zeros in order to identify one actual zero
One rational zero of the given equation is:
C.Use the root from part(b) to solve the equation
The solution set is { }
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Answer the following equation
8x^3+34x^2 -29x+5=0
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graph%28400%2C400%2C-7%2C3%2C-10%2C10%2C8x%5E3%2B34x%5E2+-29x%2B5%29
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A. List all rational roots that are possible according to the Rational Zero Theorem.
p/q = 5/8
p = +-1,+-5
Q = +-1,+-2,+-4,+-8
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All Rational Zeros:
p/q:: +-1 +-2 +-5 +-8 +-1/2 +-1/4 +-1/8 +-5/2 +-5/4 +-5/8
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B. B. Use synthetic division to test several possible rational zeros in order to identify one actual zero
Try x = 1
1)....8....34....-29....5
......8.....42....13...|..18
f(1) is not zero, so x = 1 is not a zero of the function.
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One rational zero of the given equation is: x = -5
C.Use the root from part(b) to solve the equation
f(-5) = 0
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The solution set is {-5, 1/4, 1/2}
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Cheers,
Stan H.
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