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OpenStudy (calculusxy):
MEDAL!!!
Help with factoring quadratic expressions... (question will be posted below)
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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?
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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?
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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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