Question

The remainder when x4 + x3 - 2x2 + x + 1 is divided by x + 1 is​

Answer 1

Step-by-step explanation:

hope this would help you

Answer 2

Given :

A polynomial x⁴+x³ - 2x² + x + 1 .

To Find :

Remainder when x⁴+x³ - 2x² + x + 1 is divided by x-1

Solution :

$\longmapsto\tt{x-1=0}$

$\longmapsto\tt\bf{x=1}$

Now , Putting x = 1 :

$\longmapsto\tt{{(1)}^{4}+{(1)}^{3}-2{(1)}^{2}+x+1}$

$\longmapsto\tt{1+1-2(1)+1+1}$

$\longmapsto\tt{1+1-2+1+1}$

$\longmapsto\tt{2-2+1+1}$

$\longmapsto\tt{0+2}$

$\longmapsto\tt\bf{2}$

So , The Remainder is 2 .