Question

find the remainder when 4x^3-3x^2+4x+2 divide (a)x-1 and(b) x-2​

Answer 1

Answer:

Let p(x) = 4x³ - 3x² + 4x -2

(a)  

Let x-1 = 0

x = 1

Remainder theorem,

p(1) = 4(1)³ - 3(1)² + 4(1) - 2

       = 4 - 3 + 4 -2

     =3

So, R = 3

(b)

Let x-2 = 0, x= 2

p(2) = 4(2)³ -3(2)² + 4(2) -2

       = 32 - 12 +  8 -2

      = 26

So, remainder is 26

Hope this helps!