How do you divide $(x^2+6x+5) / (x+5)$ ?

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Answer 1 · 2015-06-29T19:06:35

$(x^2 + 6x + 5)/(x+ 5) = x+1$

Here, we can factor the numerator.

$(x^2 + 6x + 5)/(x+ 5) =((x+5)(x+1))/(x+5)$

Now we can cancel $x+5$ from numerator and denominator.

$(x^2 + 6x + 5)/(x+ 5) =(cancel((x+5))(x+1))/(cancel(x+5))$

So

$(x^2 + 6x + 5)/(x+ 5) = x+1$

How do you divide (x^2+6x+5) / (x+5)(x^2+6x+5) / (x+5)?