Find the quotient and remainder

O'Brian

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Joined
Jul 15, 2006
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5
Find the quotient and remainder

I thought I understood these pretty well, but now I'm getting some funky ones that my instructor failed to go over.

If you can figure out, please explain the steps. I'm totally confused. Thanks in advance!


1.) f(x) = 3^3 + 2x - 4 divided by p(x) = x^2 + 1



2.) f(x) = 9x + 4 divded by p(x) = 2x - 5
 
check f(x) on the 1st problem ... you sure it's not f(x) = 3x^3 + 2x - 4 ?

Code:
         3x
        ----------------------------
x^2 + 1 | 3x^3 + 2x - 4
          3x^3 + 3x
         ---------------------
                -x  - 4

quotient is 3x, remainder is -x - 4.


#2 ...

Code:
       (9/2)
       -------------
2x + 5 | 9x + 4
         9x + (45/2)
         ---------------
             -(37/2)

9/2 is the quotient ... -37/2 is the remainder
 
skeeter said:
check f(x) on the 1st problem ... you sure it's not f(x) = 3x^3 + 2x - 4 ?

Code:
         3x
        ----------------------------
x^2 + 1 | 3x^3 + 2x - 4
          3x^3 + 3x
         ---------------------
                -x  - 4

quotient is 3x, remainder is -x - 4.


#2 ...

Code:
       (9/2)
       -------------
2x + 5 | 9x + 4
         9x + (45/2)
         ---------------
             -(37/2)

9/2 is the quotient ... -37/2 is the remainder


Opps! Sorry it was 3x. Thank you! Also...why and how did you use 9/2 as the quotient?
 
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