Question

In polynomial P(x) = ax³ + bx² + cx + d, P(1) =P(-1), find a + c

• A. -1
• B. 1
• C. 0
• D. 2

Answer 1

Answer:

C. 0

P(x) = ax³ + bx² + cx + d P(1) = P(x) = a× 1³ + b× 1 ² + c× 1 + d = a + b + c + d P(-1) = a× -1³ + b× -1 ² + c× -1 + d = -a + b -c + d Since P(1) = P( -1) a + b + c + d = -a + b + -c + d 2a + 2c = 0 a + c = 0