Question

Your answer should be in the formp (x) +k/x where p is a polynomial and k is an integer. 5x^2+x+7/x

Answer 1

Answer:

$p(x) + \frac{k}{x} = 5x + 1 + \frac{7}{x}$

Step-by-step explanation:

Given

$\frac{5x^2 + x + 7}{x}$

Required

Express in form of $p(x) + \frac{k}{x}$

$\frac{5x^2 + x + 7}{x}$

The above can be expressed as:

$p(x) + \frac{k}{x} = \frac{5x^2 + x + 7}{x}$

$p(x) + \frac{k}{x} = \frac{5x^2}{x} + \frac{x}{x} + \frac{7}{x}$

$p(x) + \frac{k}{x} = 5x + 1 + \frac{7}{x}$

By comparison:

$p(x) = 5x + 1$ and $k = 7$