Divide 4x\(^3\) - 3x + 1 by 2x - 1

  • A 2x2-x+1
  • B 2x2-x-1
  • C 2x2+x+1
  • D 2x2+x-1
jamb 1999mathematics

The correct answer is D. 2x2+x-1

To divide 4x(^3) - 3x + 1 by 2x - 1, we can use polynomial long division or synthetic division.

|-(4x^3 - 2x^2)

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2x^2 - 3x

| -(2x^2 - x)

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-2x + 1

| -(-2x + 1)

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So, the quotient is 2x^2 + x - 1 and the remainder is 0. This means that 4x^3 - 3x + 1 is divisible by 2x - 1, and the result of the division is 2x^2 + x - 1.

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