Question

FIND THE REMAINDER WHEN P (x) = x^3 - 3x² + 3x + 2 is divided by x-1÷2​

Answer 1

Answer:

Step-by-step explanation:

x-1/2= 0

x=1/2

put p(x)= 1/2

p(x)=x³-3x²+3x+2

p(x)=(1/2)³-3(1/2)²+3(1/2)+2

p(x)=1/8-3×1/4+3/2+2/1

p(x)=1/8-3/4+3/2+2/1

Lcm of 8,4,2 and1= 8

1. 1/8×1/1=1/8
2. -3/4×2/2=-6/8
3. 3/2×4/4=12/8
4. 2/1×8/8=16/8

p(x)=1-6+12+16/8

p(x)=11/8

Therefore, The remainder is 11/8.

Properties Used:-

1. Remainder theorem