Question

Select all polynomials that are divisible by (x-1)

Answer 1

`5x^3\text{ +}\frac{9}{x\text{ }}`

Step-by-step explanation

`\begin{gathered} (5x^4+9)/(x) \\ \end{gathered}`

Step 1

Split the fraction

`(5x^4+9)/(x)=(5x^4)/(x)+(9)/(x)`

Step 2

Simplify:

`\begin{gathered} (5x^4)/(x)+(9)/(x)=5x^(4-1)\text{ +}\frac{9}{x\text{ }} \\ (5x^4)/(x)+(9)/(x)=5x^3\text{ +}\frac{9}{x\text{ }} \\ 5x^3\text{ +}\frac{9}{x\text{ }} \end{gathered}`

so,the answer is

`5x^3\text{ +}\frac{9}{x\text{ }}`

I hope this helps you