Question

find the remainder when 3x^3 -2x^2+x+1 is divided by x-1​

Answer 1

Answer:

3x^3 - 2x^2+x+1

= 3(1)^3- 2(1)^3+1+1

= 3-2 +1 +1

= 5-2

= 3

Answer 2

Answer:

By remainder theoram:-

x-1

f-(x)

x=1

Substituting x in the polynomial:-

$3x^3 -2x^2+x+1$

$3( {1})^{3} - 2( {1)}^{2} + 1 + 1$

=3×1-2×1+1+1

=3-2+1+1

=3

Remainder:3

Note:I also divided the polynomial for clarification/verification in the attachment.