Question #1e048

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Answer 1 · 2017-01-28T05:09:35

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

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