Question

determine which of the following polynomials has (x+1) a factor : x⁴+3x³+3x+x+1​

Answer 1

Answer:

x+1 is not a factor of x^4+3x^3+3x+x+1

Step-by-step explanation:

Take x^4+3x^3+3x+x+1 as equation (1)

x+1=0

x= -1

now substitute x= -1 in equation (1)

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

1-3-3-1+1

= -5

which is not equal to 0

so, x+1 is not the factor of x^4+3x^3+3x+x+1

Answer 2

Answer:

Hence, (x+1) is not a factor

Step-by-step explanation:

X+1=0

X= -1

Now, we put x=-1 in the given equation x⁴+3x³+3x+x+1

= (-1)⁴+3(-1)³+3(-1)+(-1)+1

= 1 - 3 - 3 - 1 + 1

= 1 - 6

= -5