Question

find the value of k if 4x3 -2x ² + kx+5 to
leaves remainder -10
when divided
by 2x+1
​

Answer 1

Step-by-step explanation:

2x + 1 = 0

=> x = -1/2

p(-1/2) = - 10 [ given condition ]

p(-1/2) = 4 (-1/2)³ - 2(-1/2)² + k(-1/2) + 5 = -10

=> 4×-1/8 + 2×1/4 - 1/2 ×k + 5 = -10

=> -1/2 + 1/2 - 1/2 × k + 5 = -10

=> -1/2 × k = -10 - 5

=> -1/2 × k = -15

=> k = -15 × - 2

=> 30