If x^2 - 1 is a factor of x^4 + ax^3 + bx^2 + cx + d, w... – Algebra

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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