Question

find the sum of remainder when x3-3x2+4x-4 is divided by x+2 and x-1

Answer 1

i hope this wass the correct...

Answer 2

Answer:

Sum of the reminders = - 34

Step-by-step explanation:

Given data

          P(x) = x³-3x²+4x-4 is divided by (x+2)  and (x-1)

here we need to find sum of the reminders

P(x) is divided by (x+2) and (x-1)

⇒    x+2 = 0      ⇒  x = -2

⇒     x-1 =0       ⇒   x = 1

reminders of P(x) when P(x) is divisible by (x+2) and (x-1),

                 ⇒ P(-2)  and  P(1)

⇒ P(-2) = (-2)³-3(-2)²+4(-2)-4

            = - 8 - 12 - 8 - 4 = - 32

⇒ P (1)  = (1)³-3(1)²+4(1)- 4  

            = 1 - 3 + 4 - 4 = -2

sum of the reminders = - 32 -2 = - 34