Ask a question

Simplify using long division

1. (12y2 - 39y+15+12y)/(2y+5)
4. (w3 - 15w-11)/(w-4)

2 Answers by Expert Tutors

Tutors, sign in to answer this question.
David W. | I'll help you understand math!I'll help you understand math!
4.9 4.9 (62 lesson ratings) (62)
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
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
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
You final answer is 6y^2 - 9y + 3.
Check your answer and do the same for the second problem.
Emily L. | Enthusiastic, Effective Tutor Specializing in Languages and Test PrepEnthusiastic, Effective Tutor Specializi...
4.8 4.8 (12 lesson ratings) (12)
How are you setting up your solution to these questions?  Maybe we can help you where you're stuck.