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QUESTION IMAGE

2. divide. \frac{2x^{3}+6x^{2}+x + 4}{x} ○ x^{2}+x + 1+\frac{4}{x} ○ 2x…

Question

  1. divide.

\frac{2x^{3}+6x^{2}+x + 4}{x}
○ x^{2}+x + 1+\frac{4}{x}
○ 2x^{2}+6x+\frac{4}{x}
○ 2x^{2}+6x + 1+\frac{4}{x}
○ 2x^{2}+6x + 4

Explanation:

Step1: Divide each term by x

$\frac{2x^{3}}{x}+\frac{6x^{2}}{x}+\frac{x}{x}+\frac{4}{x}$

Step2: Simplify each fraction

$2x^{2}+6x + 1+\frac{4}{x}$

Answer:

$2x^{2}+6x + 1+\frac{4}{x}$ (corresponding to the third option)