Differences of a term and a factor?

Answer 1

In a function, a term is something that appears as part of the expression. A factor is something that goes into the expression WITHOUT REMAINDER.

So if you consider y = x2 + 2x + 1 then 2x is a term in the expression,

and, since y = (x + 1)2 = (x + 1)*(x + 1) then (x + 1) is a factor.

A term need not be a factor and a factor need not appear as a term - as illustrated by this example.

In the context of integers, a term would be similar to one of the digits [think of a decimal polynomial], whereas a factor would be a factor in the normal sense.