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AP EAMCET2009MathematicsQuadratic Equation

If f(x)=2 x^4-13 x^2+a x+b is divisible by x^2-3 x+2 , then (a, b) is equal to

Options

  1. A(-9,-2)
  2. B(6, 4)
  3. C(9, 2)
  4. D(2, 9)

Correct answer

C. (9, 2)

Step-by-step solution

Given, f(x)=2 x^4-13 x^2+a x+b is divisible by aligned & (x-2)(x-1) . & f(2)=2(2)^4-13(2)^2+a(2)+b=0 aligned On solving Eqs. (i) and (ii), we get a=9, b=2

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