What is the remainder when (2x4 – 3x3 + x2 – 3x – 15) ÷ (x – 2) ?

Question

amistre64 · Answer

by which method does this have to be accomplished?

anonymous · Answer

between on  of these 
 2x – 2

 3x + 2

 4x + 2

 2x + 6

amistre64 · Answer

the simplest thing would be to just divide it thru .....

anonymous · Answer

alright do it for me?

amistre64 · Answer

do it for you?  nah, i dont need the practice ....

anonymous · Answer

im trying to learn thats all

amistre64 · Answer

then i can walk you through it

anonymous · Answer

yes that would be perfect

amistre64 · Answer

do you remember doing longhand division back in the 3rd grade?  same concept

anonymous · Answer

okay

amistre64 · Answer

____________________________
x – 2 ) 2x4 – 3x3 + x2 – 3x – 15

just focus on the first parts; the number your looking to start out with will be 2x4/x


2x4/x = 2x3



          2x3
        ____________________________
x – 2 ) 2x4 – 3x3 + x2 – 3x – 15


now multiply the leftside by the top and subtract the results; then repeat as needed

anonymous · Answer

okay thanks how see it now

amistre64 · Answer

2x3 (x-2) =  2x4 -4x3


          2x3
        ____________________________
x – 2 ) 2x4 – 3x3 + x2 – 3x – 15
        -(2x4 -4x3)
         -----------
                     x3   (bring down the rest)



          2x3
        ____________________________
x – 2 ) 2x4 – 3x3 + x2 – 3x – 15
        -(2x4 -4x3)
         -----------
                     x3 + x2 – 3x – 15  ; and repeat

amistre64 · Answer

can you give me the next top value that we would need?  remember, just focus on the first parts

anonymous · Answer

I got it

amistre64 · Answer

ok, good luck ;)