SOLUTION: 4.7 Answer the following questions about the equation below: 12x^3 +53x^2 -34x+5=0 a. list all rational roots that are possible according to the Rational Zero Theorem:

Question 1013304: 4.7
Answer the following questions about the equation below:
12x^3 +53x^2 -34x+5=0
a. list all rational roots that are possible according to the Rational Zero Theorem:
b.Use synthetic division to test several possible rational roots. One raitonal root of the given equation is:
c. use the root from part (b) to solve the equation. The solution set is:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
12x^3 +53x^2 -34x+5=0
They are +/- 5,5/2,5/3,5/4,5/6,5/12,1,1/2,1/3,1/4,1/6, 1/12
Factors of 5 over factors of 12
12==53==-34+5
Because 53 is prime, try an integer, and -5 works
12
===-60
====-7
=======35
========1
===========-5
===========0
(x+5)(12x^2-7x+1); the latter factors into (4x-1)(3x-1)
the roots are (-5,+(1/3),+(1/4))

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