Question

x^3+x^2+X+1 determine which of the following polynomial has factor X+1​answer plz I will mark u as brainlist

Answer 1

Answer:

Let f(x)=x^3+x^2+x+1

since f(-1)=0

for x=-1 f(x)=0

so,x+1 is a factor of f(x)

Answer 2

Step-by-step explanation:

To check whether x+ 1 is a factor of given polynomial

x^3 - x^2 - x + 1

or not we can solve it by two methods.

First ☝))

lf it is the factor of given polynomial then it will satisfy the polynomial

x+1=0

x=-1

Put this in the given polynomial

we get

-1-1+1-1

=O

As the final answer cames zero hence it is the the factor of the given polynomial

Second))

To check whether it is the factor of the given polynomial or not we will divide it by the given polynomial as shown attachment.

lf After dividing if the remainder comes equals to zero then we will conclude that it is the factor and if it not happen then it is not the factor of the given polynomial.