Question
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 Q x = 1, 2
since(x2 – 3x + 2) is a factor of x4 – px2 + q, the roots 1, 2 are also roots of (x4 – px2 + q) = 0
1 – p + q = 0 and 16 – 4p + q = 0
solving, we get p = 5, q = 4