SOLUTION: Divide. (21y^5 – 28y^4 + 14y^3) / 7y Thanks!

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Question 40428: Divide.

(21y^5 – 28y^4 + 14y^3) / 7y
Thanks!
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
Divide.

 21y5 - 28y4 + 14y3 
————————————————————
         7y

This is division by a monomial


There are three terms in the top, so begin by drawing
three lines:

——————   ——————   ——————       

Now put the signs of the terms between the lines:

                 
—————— - —————— + ——————
                       
Now copy the denominator 7y under every line:



—————— - —————— + ——————
  7y       7y       7y

Write the terms above the lines

 21y5     28y4     14y3 
—————— - —————— + ——————
  7y       7y       7y

Give 1 exponents to the y's in the bottoms

 21y5     28y4     14y3 
—————— - —————— + ———————
  7y1      7y1      7y1

Cancel the 7's into the numerators:
 
 3        4        2 
 21y5     28y4     14y3 
—————— - —————— + ———————
  7y1      7y1      7y1
  1        1        1


 3y5      4y4      2y3 
—————— - —————— + —————
 1y1      1y1      1y1


Subtract exponents to divide the y's

 3y4      4y3      2y2 
—————— - —————— + —————
  1        1        1

   3y4 - 4y3 + 2y2

Edwin
AnlytcPhil@aol.com
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