Find the remainder when we divide $ 3x^4 -2x^2 + 4x - 1 $ by $ 2x -1 $.
Answer & explanation
Correct answer: option 3
When,
3x4 - 2x2 + 4x - 1 is divisible by 2x – 1
For finding the required remainder put
2x – 1 = 0
= x = 1/2
Now, the remainder is,
= 3(1/2)4 - 2(1/2)2 + 4(1/2) - 1
= 3/16 - 1/2 + 2 -1
= 3/16 + 1/2 = 11/16