Question

determine X + 1 is the factor of x power 4 + x power 3 + x power 2 + X + 1 or not​

Answer 1

Answer:

Yes

x+1 is the factor of x⁴+x³+x²+x+1

Step-by-step explanation:

Answer 2

Answer:

Yes (x+1) is the factor of x^4+x^3+x^2+x^1.

Step-by-step explanation:

1. Finding the zero of x+1

x+1=0

x = -1

2. putting x = -1 in the given equation,

x^4+x^3+x^2+x^1.

Therefore,

(-1)^4 + (-1)^3 +(-1)^2 +(-1)^1

= 1 + (-1) + 1 + (-1)

=0

( plus and minus term will be cancelled)

Hence,

(x + 1) is the factor of x^4+x^3+x^2+x^1.