8/x2+6x times 2x product

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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step-by-step explanation:

answer: approximately 206 bones

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