Question 731476

here is one example for you:


Factor {{{t^2 + t + 1/4}}}

If the {{{t^2}}} has no coefficient ( the whole number before it) means it is {{{1}}} (you can write {{{t^2}}} as {{{1*t^2}}}), you can follow these steps:

First term is {{{t^2}}}: we know that the factor of {{{t^2}}} is {{{t}}} times {{{t}}}

Last term : {{{1/4}}} , we know that the factor of {{{1/4}}} is {{{1/2}}} times {{{1/2}}}.

Middle term {{{t}}} : if you {{{ADD}}} the {{{2}}} factors of the {{{last}}} term, you must get the {{{coefficient}}} of the middle term.

If you add {{{(1/2)t + (1/2)t = 1t}}} or {{{t}}}, which is the middle term.

Our factor is

{{{( t + 1/2)( t + 1/2)}}}

use same approach to do other similar problems