SOLUTION: can you tell me if this problem is correct use long divison to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) P(x)=x^4+2x^3-2x+4 d(x)=x-2 answer

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: can you tell me if this problem is correct use long divison to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) P(x)=x^4+2x^3-2x+4 d(x)=x-2 answer      Log On


   



Question 77898: can you tell me if this problem is correct
use long divison to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x)
P(x)=x^4+2x^3-2x+4
d(x)=x-2
answer
x-2/x^4+2x^3-2x+4=X^3+4x^2+6 remainder is 16
P=x^3+2x^3-2x+4=x-2*x^3+4x^2+6+16

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

%28x%5E4+%2B+2x%5E3+-+2x+%2B+4%29%2F%28x+-+2%29+


This can be written as:

x - 2 )x%5E4+%2B+2x%5E3+-+2x+%2B+4( x%5E3+%2B+4x%5E2+%2B+8x+%2B+14
x%5E4+-+2x%5E3+
- +
-------------
+4x%5E3+-+2x+%2B+4
+4x%5E3+-+8x%5E2
- +
------------------
8x%5E2+-+2x+%2B+4+
8x%5E2+-+16x+
- +
---------------------
14x + 4
14x - 28
- +
--------------------
32


Hence, the remainder is 32 and the quotient is: x%5E3+%2B+4x%5E2+%2B+8x+%2B+14

Hence, the solution.