Answer:
4 • (3x4 + 2)
  ———————
       x2    
Step-by-step explanation:
Step  1  :
             8
 Simplify   ——
            x2
Equation at the end of step  1  :
   8    
  —— +  12x2
  x2    
Step  2  :
Rewriting the whole as an Equivalent Fraction :
 2.1   Adding a whole to a fraction
Rewrite the whole as a fraction using  x2  as the denominator :
            12x2     12x2 • x2
    12x2 =  ————  =  —————————
             1          x2    
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
 8 + 12x2 • x2     12x4 + 8
 —————————————  =  ————————
      x2              x2   
Step  3  :
Pulling out like terms :
 3.1     Pull out like factors :
   12x4 + 8  =   4 • (3x4 + 2) 
Polynomial Roots Calculator :
 3.2    Find roots (zeroes) of :       F(x) = 3x4 + 2
Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient
In this case, the Leading Coefficient is  3  and the Trailing Constant is  2.
 The factor(s) are:
of the Leading Coefficient :  1,3
 of the Trailing Constant :  1 ,2
 Let us test ....
  	P    Q    P/Q    F(P/Q)    	Divisor
      -1       1        -1.00        5.00    	
      -1       3        -0.33        2.04    	
      -2       1        -2.00        50.00    	
      -2       3        -0.67        2.59    	
      1       1        1.00        5.00    	
      1       3        0.33        2.04    	
      2       1        2.00        50.00    	
      2       3        0.67        2.59    	
Polynomial Roots Calculator found no rational roots
Final result :
  4 • (3x4 + 2)
  —————————————
       x2      
Processing ends successfully
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