wperezrodriguez2328 wperezrodriguez2328
  • 11-10-2021
  • Mathematics
contestada

2x^3-3x^2+kx-1 is divided (x-1),the remainder is 2 find k

Respuesta :

jimrgrant1 jimrgrant1
  • 11-10-2021

Answer:

k = 4

Step-by-step explanation:

if f(x) is divided by (x - h) then f(h) is the remainder

f(x) = 2x³ - 3x² + kx - 1

divided by (x - 1) , so h = 1 , then

2(1)³ - 3(1)² + k(1) - 1 = 2

2 - 3 + k - 1 = 2

- 2 + k = 2 ( add 2 to both sides )

k = 4

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