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KVPY2017MathematicsQuadratic Equation

The quotient when 1+x²+x⁴+x⁶+ +x³⁴ is divided by 1+x+x²+x³+ +x¹⁷ is

Options

  1. Ax¹⁷-x¹⁵+x¹³-x¹¹ +x
  2. Bx¹⁷+x¹⁵+x¹³+x¹¹+ +x
  3. Cx¹⁷+x¹⁶+x¹⁵+x¹⁴+ +1
  4. Dx¹⁷-x¹⁶+x¹⁵-x¹⁴+ -1

Correct answer

D. x¹⁷-x¹⁶+x¹⁵-x¹⁴+ -1

Step-by-step solution

Do in this way option (D)

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