Question

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

Answer 1

Result is 96

Answer 2

Input is 8 and 12 and than multiply them both.

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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)

Answer 8

thanks bro

Answer 9

Any time!!