SOLUTION: Please help me with the following problem. The division problems confuse me.
(-16p^3+15p^2+10-5p+6p^4)/(1+3p)
I have arranged the exponents so that they are in descending or
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Question 106724This question is from textbook
: Please help me with the following problem. The division problems confuse me.
(-16p^3+15p^2+10-5p+6p^4)/(1+3p)
I have arranged the exponents so that they are in descending order, but after that, I'm lost.
This question is from textbook
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(-16p^3+15p^2+10-5p+6p^4)/(1+3p)
Rearrange:
(6p^4-16p^3+15p^2-5p+10)/(3p+1)
-------------------
Using synthetic division:
-1/3)....6....-16....15....-5....10
...........6.....-18....21....-12.|..14
===============
So (p+(1/3))(6x^3-18x^2+21x-12) + 14
Multiply and divide by 3 to get:
(3p+1)(2x^3-6x^2+7x-4) + 14
-------------------------
Dividing by 3p+1:
Quotient: 2x^#-6x^2+7x-4
Remainder: 14
==================
Cheers,
Stan H.
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