A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x)*Q(x)+R(x).
P(x)=3x^3-x^2+2x+5; d(x)=x+1

Question

A polynomial P(x) and a divisor d(x) are given.  Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x)*Q(x)+R(x).
P(x)=3x^3-x^2+2x+5; d(x)=x+1

myininaya · Answer

3x^2-4x+6
 x+1 |````````````````````
          3x^3  -  x^2+2x+5
        -(3x^3+3x^2)
            ---------------
                    -4x^2+2x+5
                  -(-4x^2-4x)
                    ---------------
                             6x+5
                          -(6x+6)
                              ------
                                   -1

anonymous · Answer

wow u deserve a trophy

anonymous · Answer

I know, I was typing it out and then I saw the post and just decided he deserved my vote

myininaya · Answer

$$\frac{3x^2-x^2+2x+5}{x+1}=3x^2-4x+6-\frac{1}{x+1}$$

myininaya · Answer

im a she lol

anonymous · Answer

myininaya, you're really good at math

anonymous · Answer

ok, she.  Damn me for my gender stereotyping.  She's good, but what's really impressing me is how good she is at working this interface.  I could do the math on paper, but it was going to take me about 4 times as long as her to get it all put into the chat....

myininaya · Answer

one day i think us females will be able to catch up to you males
watch your backs!
lol
we are evolving (hopefully lol)

anonymous · Answer

ur living proof right here

myininaya · Answer

lol