how do you factor this trinomial. x squared +8x+12. please show work :)

Question

anonymous · Answer

Result is 96

anonymous · Answer

Input is 8 and 12 and than multiply them both.

anonymous · Answer

$$x^2+8x+12$$To factor this, you are looking for two numbers that multiply to give you 12 and add to give you 8.

anonymous · Answer

Recall, this trinomial is the result of 2 binomials being FOILed together.
(     )(      )

anonymous · Answer

To get the first term x^2, you have to have your first terms as "x" and "x", so we now know:
(x     )(x     )

anonymous · Answer

Because all the terms are positive, we know both signs are positive - so now we recognize:
(x+    )(x+     )

anonymous · Answer

Then, the numbers that multiply to 12 and add to 8 are "2" and "6", so those are the numbers that go last.
(x+2)(x+6)

anonymous · Answer

thanks bro

anonymous · Answer

Any time!!