SOLUTION: Hi, I think this is easy. I just got done doing one, but this one confuses me because of the x^4-2. I'm not sure how to work the x^4. Find the quotient and remainder of f(x)

Algebra.Com
Question 16788: Hi,
I think this is easy. I just got done doing one, but this one confuses me because of the x^4-2. I'm not sure how to work the x^4.
Find the quotient and remainder of f(x)=x^4-2 divided by p(x)=x=-1.
I know the remainder will be -1 because -2 minus 1 at the end of the equation. I think the equation should be something like 1 / 1 -2 , but I know I'm missing stuff. Like I said I'm not sure what to do with the x^4. Any help will be much appreciated.
Answer by xcentaur(357)   (Show Source): You can put this solution on YOUR website!
f(x)=x^4-2 divided by p(x)=x=-1
Now using synthetic division, 



x - 1 | x^4 + 0x^3 + 0x^2 + 0x - 2

  + 1 |  1     0      0     0    -2

      |  -     1      1     1    1

      ------------------------------

         1     1      1     1    [-1]



As you can see, the remainder you got (-1) is correct.



And the quotient is: (x^3+x^2+x+1)




 Mail me if you have any doubts about the synthetic division method.



Hope this helps,

Prabhat

 

RELATED QUESTIONS


The sum of two numbers is 50. One number is 5 less than 4 times the other number. Find... (answered by stanbon,ewatrrr)

I am pretty sure I have this under control but I would like to verify my answers.... (answered by rwm)

SOLVE USEING THE QUADRATIC FORMUALA
x^2= 3x
NOW I KNOW THE QUADRATIC FORMULA AND ALL... (answered by scott8148)

Im having trouble with some word problems i have many for my homework i understand the... (answered by stanbon,lwsshak3)

Find the qoutient and the remainder.  Check your work by verifying that... (answered by stanbon)

Hi!
I have a homework that says:
solve the following quadratic equations by factoring. 
 (answered by KMST)

Hello there, I was hoping someone could help me work through the steps on this one.
I... (answered by Fombitz)

One of the problems i am stuck on: Complete the following table and DO NOT GRAPH
I have... (answered by solver91311)

Hi, I have a question
The product of 2 numbers is 96. One number is 4 more than the... (answered by Cromlix,Fombitz)