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RUDIKE [14]
2 years ago
6

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

Mathematics
1 answer:
Alona [7]2 years ago
3 0

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

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