Question

Factor x3+x2+x+1 by grouping. What is the resulting expression

Answer 1

add the like terms and it would be x6+1 this is because if x is being multiplied by 3 and then the other x is multiplied by 2 then we can just add the numbers and get 5 and x by itself is also x1 because 1 times whatever number will always just be the other number so with 3+2+1 we have 6x and then the other 1 would just be +1

Answer 2

(x+1) (x^2+1)

Explanation:

x^3+x^2+x+1

Factor by grouping

x^3+x^2 +x+1

Factor out x^2 from the first group and 1 from the second group

x^2( x+1) + 1( x+1)

Factor out (x+1)

(x+1) (x^2+1)