Question

determine whether the following polynomial has (x+1) a factor of x^3+x^2+x+1​

Answer 1

Answer:

yes

Step-by-step explanation:

(x+1) means x = -1

so, put the value of x = -1 in the equation

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

-1 + 1 - 1 + 1

0

Since it equals to be 0 so it is a zero

Answer 2

Step-by-step explanation:

Apply remainder theorem

x+1=0

x=−1

Put the value of x=−1 in all equations.

(i) x

3

+x

2

+x+1=(−1)

3

+(−1)

2

+(−1)+1=−1+1−1+1=0

Then x+1 is the factor of equation

HOPE THIS HELPS.