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Question: If x<sup>2</sup> – 3x + 2 is a factor of x<sup>4</sup> – px<sup>2</sup> + q, then p,q are –...

If x2 – 3x + 2 is a factor of x4 – px2 + q, then p,q are –

A

2, 3

B

4, 5

C

5, 4

D

0, 0

Answer

5, 4

Explanation

Solution

x2 – 3x + 2 = 0 Ž x = 1, 2

Put x = 1 1 – p + q = 0 Ž p – q = 1

x = 2 16 – 4p + q = 0 Ž 4p – q = 16

Ž p = 5, q = 4