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If x 2 - 3 x + 2 is a factor of x 4 -   p x 2 + q , then p ,   q are

Options

  1. A2 , 3
  2. B4 , 5
  3. C5 , 4
  4. D0 , 0

Correct answer

C. 5 , 4

Step-by-step solution

x 2 -   3 x + 2 = 0   ∵   x = 1 ,   2 Since x 2 -   3 x + 2 is a factor of x 4 -   p x 2 + q , the roots 1 , 2 are also roots of x 4 -   p x 2 + q = 0 1 -   p + q = 0 and 16 -   4 p + q = 0 Solving, we get p = 5 ,   q = 4

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