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AP EAMCET · Maths · Quadratic Equation

If 2x4-x3+3x2-x+4x2-3x+2=f(x)+Ax-1+Bx-2 then

  1. A f(x)=2x2+5x+14,A+B=39
  2. B f(x)=2x2-5x+14,A+B=31
  3. C f(x)=2x2+5x+14,A+B=31
  4. D f(x)=2x2+5x+14,A=4,B=35
Verified Solution

Answer & Solution

Correct Answer

(C) f(x)=2x2+5x+14,A+B=31

Step-by-step Solution

Detailed explanation

2x4-x3+3x2-x+4x2-3x+2 ⇒quotient=2x2+5x+14⇒remainder=31x-28 ∴fx=2x2+5x+14    remainder=31x-28     A+B=31..