state gov MP Forest Guard and Jail Prahari Mock Test 2023 Quantitative Aptitude Algebra Polynomials

If (x2 - 1) is a factor of ax4 + bx3 + cx2 + dx + e, then which one of the following is correct?

1
a + b + c = d + e
2
a + b + e = c + d
3
b + c + d = a + e
4
a + c + e = b + d
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