Algebramedium · Past Paper
If x^2 - 1 is a factor of x^4 + ax^3 + bx^2 + cx + d, what must be true?
AP(1) = 0 and P(-1) = 0
BP(1) = 0
CP(0) = 0
DP(1) = P(-1)
✓ Correct Answer: A — P(1) = 0 and P(-1) = 0
x^2 - 1 = (x-1)(x+1). Both 1 and -1 must be roots.
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