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AP EAMCET202021 Sep 2020Evening ShiftMathematicsBinomial TheoremActual

If a Polynomial x^4+x^2+1 is divisible by x^2+m x+1 and x^2+n x+1 . Then m+n is equal to (1) 2 (2) 0 (3) 3 (4) 4

Options

  1. A2
  2. B0
  3. C3
  4. D4

Correct answer

B. 0

Step-by-step solution

x^4+x^2+1 is divisible by x^2+n x+1 and x^2+m x+1 x^4+x^2+1= (x^2+m x+1 ) (x^2+n x+1 ) equating the coefficients of x^3 on both sides m+n=0

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