Question 360152: Solve using long division, then CHECK.
(-30+6y^3-28y+y^2) divided by (2y-5)
PLEASE help me with this!! I've been stuck on this problem forever.
In my math book it doesn't show me how to solve problems this long and I have no clue what I am doing.
Thanks! :)
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! This is similar to doing long division with numbers
:
Solve using long division, then CHECK.
(-30+6y^3-28y+y^2) divided by (2y-5)
:
6y^3 + y^2 - 28y - 30
:
.............___________________
(2y-5)| 6y^3 + y^2 - 28y - 30
:
This is the form you want for long division
Find a value, that when you multiply it 2y, it will = 6y^3, that would be 3y^2
:
..............................3y^2
.............___________________
(2y-5)| 6y^3 + y^2 - 28y - 30
.................6y^3 - 15y^2;
.................---------------------
................................16y^2 - 28y
We multiplied the divisor by 3y^2 and subtracted, brought down the 28y
:
..............................3y^2 + 8y
.............___________________
(2y-5)| 6y^3 + y^2 - 28y - 30
.................6y^3 - 15y^2;
.................---------------------
................................16y^2 - 28y
................................16y^2 - 40y
................................-----------------
...............................................+12y - 30
We multiplied the divisor by 8y and subtracted, brought down -30
:
..............................3y^2 + 8y + 6
.............___________________
(2y-5)| 6y^3 + y^2 - 28y - 30
.................6y^3 - 15y^2;
.................---------------------
................................16y^2 - 28y
................................16y^2 - 40y
................................-----------------
...............................................+12y - 30
...............................................+12y - 30
.....................................................-----------
We multiplied the divisor by 6 and subtracted, no remainder
:
:
The quotient: 3y^2 + 8y + 6
:
Check this, multiply this by the divisor (2y-5) and see what get
:
:
Do you think you can do this now??
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