Question #1e048

1 Answer
Jan 28, 2017

Answer:

#=(x+1)(x^4+1)#

Explanation:

There is no common factor which occurs in all the terms.

There are 4 terms, so group them into 2 pairs first.

#(color(red)(x^5+x)) + (color(blue)(x^4+1))#

#=color(red)(x(x^4+1)) + (color(blue)(x^4+1))" "larr# there is a common bracket

#=(x^4+1)(x+1)#

#=(x+1)(x^4+1)#

There are now 2 factors