Explain why the expression #13x+10# cannot be factored?

1 Answer
Dec 28, 2016

Answer:

There are no common factors between the two terms #color(red)(13x)# and #color(blue)(10)# - see explanation below.

Explanation:

First, we can try factoring the constants in each term:

13 is a prime number and therefore can only be factored to 1 and 13.

10 can be factored as (1 x 10) or (2 x 5).

Because there are no common factors other than #1# the constants cannot be factored.

And, because there is no #x# in the second term (10), we cannot factor an #x# out of the two terms.

Therefore this expression cannot be factored.