Question

Long division show your work

Answer 1

Explanation:

`3x^(4)`x +
`5x^(2)`x + x - 1

—————————--------------

x

Simplify
`(1)/(x)`

(((3 • (x3)) + 5x) -
`(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
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