Algebrahard · Past Paper

If x^2 - 3x + 2 is a factor of x^4 - px^2 + q, find p.

A5
B-5
C4
D0

✓ Correct Answer: A5

Factors are (x-1)(x-2). P(1)=0 => 1-p+q=0; P(2)=0 => 16-4p+q=0. Solving these gives p=5, q=4.

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