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Mathematics 18 Online
OpenStudy (calculusxy):

MEDAL!!! Help with factoring quadratic expressions... (question will be posted below)

OpenStudy (calculusxy):

\[6x^2 + 24x - 462\]

OpenStudy (calculusxy):

@jim_thompson5910

OpenStudy (mertsj):

Factor out 6 first

OpenStudy (mertsj):

6(x^2+4x-77)

OpenStudy (mertsj):

Bet you can get it from there can't you?

OpenStudy (calculusxy):

i found the factors of 462: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462 but i need to find tow factors that when combined will be 24

OpenStudy (calculusxy):

*two

OpenStudy (anonymous):

use what @Mertsj said

OpenStudy (mertsj):

Factor out 6 first

OpenStudy (calculusxy):

okay. and after that?

OpenStudy (anonymous):

6 times (x+11) times (x-7)

OpenStudy (calculusxy):

i still don't understand... @Mertsj

OpenStudy (anonymous):

6x2+24x−462 can be simplified to 6(x2+4x-77) Then x2+4x-77 can be made into (x+11)(x-7) Then add the 6 from before 6(x+11)(x-7)

OpenStudy (calculusxy):

oh okay ... i understand it much better now. :) thanks @CasidyCat

OpenStudy (anonymous):

The end simplification is basically that you had two find two factors of 77 that added up to 4. This will work on most. :)

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