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Mathematics 7 Online
OpenStudy (cjay99):

WILL FAN AND MEDAL: Can anyone explain how to factor trinomials?

RhondaSommer (rhondasommer):

yes

RhondaSommer (rhondasommer):

give me a trinomial and ill walk you through it

OpenStudy (cjay99):

um....3a squared +15a + 12?

OpenStudy (cjay99):

Thanks guys

RhondaSommer (rhondasommer):

What is the largest number that divides evenly into 3a^2, 15a, and 12?

RhondaSommer (rhondasommer):

\[3a^2, 15a, and 12\]

OpenStudy (cjay99):

3

RhondaSommer (rhondasommer):

so the GFC (greatest common factor) is 3

OpenStudy (thebossofme191):

GCF*

RhondaSommer (rhondasommer):

then, in parentheses, divide each term by the GCF \[3a^2/3 +15a/3+12/3\] Put the GCF as the first term \[3(a2+5a+4)\]

RhondaSommer (rhondasommer):

\[a^2\]

RhondaSommer (rhondasommer):

did you understand that?

OpenStudy (cjay99):

yeah thanks

RhondaSommer (rhondasommer):

im not done...

RhondaSommer (rhondasommer):

Which two numbers add up to 5 and multiply to 4?

OpenStudy (cjay99):

wait what? im confused now

RhondaSommer (rhondasommer):

so you have this \[3(a^2+5a+4)\] but you arent done factoring. there is one more step

OpenStudy (cjay99):

okay i got that, but now what?

RhondaSommer (rhondasommer):

Which two numbers add up to 5 and multiply to 4? this is so you can factor \[(a2+5a+4)\]

OpenStudy (cjay99):

i dont know what you mean by that tho, sorry im really dumb, i dont know how to do that step

OpenStudy (thebossofme191):

ur not dumb

RhondaSommer (rhondasommer):

its okay im here to explain. if you knew how to do it I wouldnt even be here. no one is dumb. I personally have a super hard time with science. everyone has thier subjects ^_^

RhondaSommer (rhondasommer):

x*y=4 x+y=5

RhondaSommer (rhondasommer):

brb

OpenStudy (cjay99):

1 and 4

RhondaSommer (rhondasommer):

k good. now you have 3(x+4)(x+1) :)

OpenStudy (cjay99):

okay, do mulitply everything by that 3?

RhondaSommer (rhondasommer):

yup

OpenStudy (cjay99):

Okay, thanks!

RhondaSommer (rhondasommer):

yeah. i found a site that helps you and explains what you are doing. PM me and I'll send it to you

OpenStudy (cjay99):

okay

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