Divide 4x\(^3\) - 3x + 1 by 2x - 1
A
2x2-x+1
B
2x2-x-1
C
2x2+x+1
D
2x2+x-1
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
2x\(^2\)
+ x
- 1
2x - 1
4x\(^3\)
+ 0x\(^2\)
- 3x
+ 1
-
4x\(^3\)
- 2x\(^2\)
2x - 1
+ 2x\(^2\)
- 3x
+ 1
-
-x
+ 1
2x - 1
- 2x
+1
-
- 2x
+ 1
0
0
Thus, Divide 4x\(^3\) - 3x + 1 by 2x - 1 = 2x\(^2\) + x - 1
Source: Myschool Past Questions Archive (Record #25)