Question 77299
what number multiplied by x gets you x^2? The answer                                  is x. Place x over x^2. Now multiply by x and place it underneath x^2. Multiply x by 5 and place it under 9x

<pre>

    __x___________
x+5 | x^2 + 9x - 1           
      x^2 + 5x
    ----------------
            </pre>

Now subtract the second line from the first


<pre>

    __x___________
x+5 | x^2 + 9x - 1           
    -(x^2 + 5x)
    ----------------
            4x - 1

</pre>
Now what number multiplied by x gives you 4x? The answer is 4. Place this number over 9x and multiply it by (x+5). Place the product of 4(x+5) under 4x -1 and subtract

<pre>

    __x___+_4_______
x+5 | x^2 + 9x - 1           
    -(x^2 + 5x)
    ----------------
            4x - 1
          -(4x + 20)
          -----------
                -21
</pre>

So our quotient is {{{x+4+(-21)/(x+5)}}} in other words:

{{{(x^2 + 9x - 1)/(x+5)=x+4+(-21)/(x+5)}}}