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Mathematics 15 Online
OpenStudy (anonymous):

factor: 24p^3 - 72p^2 - 32p + 96

OpenStudy (anonymous):

please

myininaya (myininaya):

factor by grouping

myininaya (myininaya):

look at the first two terms what do they have in common

OpenStudy (anonymous):

12

myininaya (myininaya):

they have p^2 in common also right?

OpenStudy (anonymous):

yes

myininaya (myininaya):

it looks like they have 24 in common too

OpenStudy (anonymous):

o yes they do

myininaya (myininaya):

24p^2(p-3) is what we get looking at the first 2 terms

myininaya (myininaya):

now look at the 2nd two terms

myininaya (myininaya):

what do they have in common

OpenStudy (anonymous):

32

myininaya (myininaya):

what happens if you factor out a -32 out of the second two

OpenStudy (anonymous):

-32 (p + 3) ? im not sure

myininaya (myininaya):

you get -32(p-3)

OpenStudy (anonymous):

o okay

myininaya (myininaya):

so we have 24p^2(p-3)-32(p-3)

OpenStudy (anonymous):

yea

myininaya (myininaya):

so we have terms and they both have p-3 in common so we can factor out a p-3

myininaya (myininaya):

two terms*

OpenStudy (anonymous):

o okay

myininaya (myininaya):

(p-3)(24p^2-32)

OpenStudy (anonymous):

and then i factor out an 8?

myininaya (myininaya):

If you want to factor completely, you could look at the second factor and factor out this 8 you are talking about. so we have 8(p-3)(3p^2-4)

myininaya (myininaya):

finished!

OpenStudy (anonymous):

o okay thank u soo much!! i wil become a fan hahaa

myininaya (myininaya):

cool. so you understand?

OpenStudy (anonymous):

yes thank u so much

myininaya (myininaya):

you'r welcome

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