Question

1 point
Q. 8. What is the remainder obtained when x4 + x3 – 2x2 + x +1 is divided by x– 1?
a) -2
b) 0
c)2
d) 3




​

Answer 1

Answer:

Option (C) 2

Step-by-step explanation:

mark me as brainliest

Answer 2

Given :

• A polynomial ${x}^{4}$+x³ - 2x² + x + 1 .

To Find :

• Remainder when ${x}^{4}$+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 .

Option c) 2 is Correct .