Question

divide the following polynomial by synthetic division method. write the quotient and the remainder. (x3-2x2+4x-2) ÷ (x-1)​

Answer 1

Answer:

Solution

Synthetic Division :

Divided  = 2x4+3x3+4x−2x2=2x2=2x4+3x3+2x2+4x+0

Divisor =  x + 3

Opposite of  3 = -3

The coefficient from of the quotient is (2 , - 3 ,  7 , -17) 

∴Quotient=2x3−3x2+7x−17  and remainder = 51

Answer 2

Answer:

Quotient: x2 - x + 3

Remainder: 1

Step-by-step explanation:

x - 1 ) x3 - 2x2 + 4x - 2 ( x2 - x + 3

x3 - x2

_______

- x2 + 4x

- x2 + x

_______

3x - 2

3x - 3

_____

1

Quotient: x2 - x + 3

Remainder: 1