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Mathematics 14 Online
OpenStudy (anonymous):

Factoring a Trinomial?

OpenStudy (anonymous):

\[12x ^{2}-31x+7\]

jimthompson5910 (jim_thompson5910):

have you learned the quadratic formula?

OpenStudy (anonymous):

Yes, I've gotten every other question correct, it's just this one question that i'm getting wrong.

jimthompson5910 (jim_thompson5910):

ok use the quadratic formula to find the solutions to 12x^2 - 31x + 7 = 0 tell me what those roots are

OpenStudy (anonymous):

this will help you so much its a trick where you can solve any trinomial

OpenStudy (anonymous):

basically you times the first term by last term which in ur case is 12 and 7

OpenStudy (anonymous):

\[12 \times 7 = 84\]

OpenStudy (anonymous):

now you need to find two factors of 84 which if multiply gives you 84 and when add gives you -31

OpenStudy (anonymous):

so if you \[28 \times 3 = 84\]

OpenStudy (anonymous):

now in order to get -31 these two number should be -28 and -3

OpenStudy (anonymous):

\[(-28) + (-3)\]

OpenStudy (anonymous):

now you equation will be \[12x ^{2} -3x -28x +7\]

OpenStudy (anonymous):

now only thing you have to do is factor it , can u plz do that if u have trouble i ll help u

OpenStudy (skullpatrol):

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