Question

Long division show your work

Answer 1

Step-by-step explanation:

$3x^{4}$x    + $5x^{2}$x    + x - 1

 —————————--------------

                 x    

Simplify $\frac{1}{x}$

(((3 • (x3)) +  5x) -  $\frac{1}{x}$) +  1

3.1   Subtracting a fraction from a whole  

Rewrite the whole as a fraction using  x  as the denominator :

                              3x^3 + 5x                    (3x^3 + 5x) • x

    3x^3 + 5x =  ————————  =  ——————————————

                                   1                                            x      

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

4.1     Pull out like factors :

$3x^{3}$ + 5x $\frac{3x^3 + 5x}{1} = \frac{(3x^3 + 5x) [tex]3x^{3} + 5x = x • (3x^2 + 5)$ x}{x}[/tex]

5.1   Adding a whole to a fraction  

Rewrite the whole as a fraction using  x  as the denominator :

          1            1 • x

   1 =  —  =  —————

          1              x