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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

If the expression f(x)=x^4+2 x^3+a x^2+b x+3 has remainder r(x)=4 x+3 , when divided by g(x)=x^2+x-2 , then:

Options

  1. Aa+b=1
  2. Ba-b=-3
  3. C|b|=|2 a|
  4. D3 b-2 a=8

Correct answer

D. 3 b-2 a=8

Step-by-step solution

g(x)=(x+2)(x-1) . array ll & f(x)=Q(x) (x+2)(x-1)+(4 x+3) & f(1)=a+b+6=7 and & f(-2)=4 a-2 b+3=-5 array aligned & a=-1 & b=2 aligned

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