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NDA2019MathematicsQuadratic EquationActual

Which one of the following is the second degree polynomial function f(x) where f(0)=5, f(-1)=10 and f(1)=6 ?

Options

  1. A5 x^2-2 x+5
  2. B3 x^2-2 x-5
  3. C3 x^2-2 x+5
  4. D3 x^2-10 x+5

Correct answer

B. 3 x^2-2 x-5

Step-by-step solution

aligned & f(x)=a x^2+b x+c & f(0)=5 c=5 (i) & f(-1)=10 a-b=5 (ii) & f(1)=6 a+b=6 (iii) aligned from (ii) & (iii) we get, a=3b=-2 quadratic equation is 3 x^2-2 x+5=0

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