Question
Question: If x<sup>2</sup> – 3x + 2 be a factor of x<sup>4</sup> – px<sup>2</sup> + q, then (p, q) =...
If x2 – 3x + 2 be a factor of x4 – px2 + q, then (p, q) =
A
(3, 4)
B
(4, 5)
C
(4, 3)
D
(5, 4)
Answer
(5, 4)
Explanation
Solution
(x2 – 3x + 2) be factor of x4 – px2 + q
Ž x = 2,1 are roots,
\ 1 – p + q = 0
16 – 4p + q = 0
– + –
– 15 + 3 p = 0
Ž p = 5 and q = 4