Question

Find the value of k, If P(x) = 2x³ - 7x² + kx + 20, P(2) =P(3)

• A. 5
• B. -3
• C. 3
• D. 2

Answer 1

Answer:

B. -3

P(x) = 2x³ - 7x² + kx + 20 P(2) = 2(2)³ - 7(2)² + k(2) + 20 = 16 - 28 + 2k + 20 = 8 + 2k P(3) = 2(3)³ - 7(3)² + k(3) + 20 = 54 - 63 + 3k + 20 = 11 + 3k P(2) = P(3) 8 + 2k = 11 + 3k k = -3