Simplify using long division

Question

1. (12y² - 39y+15+12y³ )/(2y+5)

 

4. (w³ - 15w-11)/(w-4)

Answer 1

Nkeiruka, we do this just like we do long division with whole numbers.  Let's see what we can come up with.

 

First, we have to put things in order: 12y^3 + 12y^2 - 39y +15

 

How many times does 2y go into 12y^3?  6y^2, right?  6y^2(2y+5)= 12y^3+30y^2.

 

   12y^3 - 12y^2

-  12y^3 +30y^2

______________

              -18y^2

 

Bring down the -39y, so you have -18y^2 - 39y.  How many times does 2y go into -18y?  -9y, right? -9y(2y+5)= -18y^2-45y

 

   -18y^2 - 39y

-  -18y^2 - 45y

______________

                 6y

 

Bring down the 15 to make 6y+15

 

How many times does 2y go into 6y?  3, so 3(2y+5)= 6y+15

 

   6y + 15

-  6y + 15

__________

            0

 

You final answer is 6y^2 - 9y + 3.

 

Check your answer and do the same for the second problem.

Answer 2

Nkeiruka,

 

How are you setting up your solution to these questions?  Maybe we can help you where you're stuck.