If 2 x 4 - x 3 + 3 x 2 - x + 4 x 2 - 3 x + 2 = f ( x ) + A x - 1 + B x - 2 then

If 2x4-x3+3x2-x+4x2-3x+2=f(x)+Ax-1+Bx-2 then
  1. f(x)=2x2+5x+14,A+B=39
  2. f(x)=2x2-5x+14,A+B=31
  3. f(x)=2x2+5x+14,A+B=31
  4. f(x)=2x2+5x+14,A=4,B=35

Solution

2x4-x3+3x2-x+4x2-3x+2

quotient=2x2+5x+14remainder=31x-28

fx=2x2+5x+14    remainder=31x-28     A+B=31..

Asked in: AP EAMCET 2021 (20 Aug Shift 2)

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