Question

If x² - 1 is a factor of ax⁴ + bx³ + cx² + dx + e, then

A. a + c + e = b. + d 

B. a + b + e = c. + d 

C. a + b + c = d + e 

D. b + c + d = a + e

Answer 1

Let f (x) = ax⁴ + bx³ + cx² + dx + e 

Since, x²- 1 is a factor of f(x) 

Therefore, 

f (-1) = 0 

a (-1) + b (-1)³ + c (-1)² + d (-1) + e = 0 

a + c + e = b + d