(Solved):Divide: frac{ x^2 + 2}{x + 1} View Answer…

 

Question

Divide: {eq}displaystyle

frac{ x^2 + 2}{x + 1}

{/eq}

 

EXPERT ANSWER

Divide:

$$frac{ x^2 + 2}{x + 1}

$$

Solution:

Divide the fraction using long division.

$$begin{align}

&: : : : : : : : : : : x-1\

x&+1overline{)x^{2}+0x+2}\

&- : : : : underline{{x^{2}+x}quad quad : : }\

&quad quadquad : : : : : : : x+2\

&- quad quadquad : : underline{x-1}\

&quad quadquadquad quadquad : ; 3rightarrow text{Remainder}

end{align}

$$

Hence the answer is {eq}displaystyle{boxed{color{blue}{x-1+frac{3}{x+1}

}}}

{/eq}.

We are so grateful for

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