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COMEDK2020MathematicsIndefinite Integration

3 x^ 2 +1 x²-6 x+8 is equal to

Options

  1. A49 2(x-4) - 13 2(x-2)
  2. B3+ 49 2(x-4) - 13 2(x-2)
  3. C49 2(x-4) + 13 2(x-2)
  4. D-49 2(x-4) + 13 2(x-2)

Correct answer

B. 3+ 49 2(x-4) - 13 2(x-2)

Step-by-step solution

We have, 3 x²+1 x²-6 x+8 =3+ 18 x-23 x²-6 x+8 =3+ 18 x-23 (x-4)(x-2) Aguin, let 18 x-23 (x-4)(x-2) = A x-4 + B x-2 18 x-23=A(x-2)+B(x-4) Put x=4 , we get 72-23=2 A A= 49 2 Put x=2 , we get gathered 36-23=-2 B B= -13 2 So, 3 x²+1 x²-6 x+8 =3+ 49 2(x-4) - 13 2(x-2) gathered

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