Question

find the remander when the polinomial 2 x raiseto3 + 3 x raiseto2+ 2x+3 is divided by x-1

Answer 1

put x =1 in the polynomial ( by remainder theorem)
we get 2+3+2+3=10
therefore remainder =10

Answer 2

put x=1 in the given polynomial
2(1)^3+3(1)^2+2(1)+3
2x1+3x1+2x1+3
2+3+2+3
10 is the remainder