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Mathematics 19 Online
OpenStudy (candy13106):

factor 3r^2-16r-7=5

OpenStudy (fanduekisses):

first you want it to be in this form: ax + bx + c = 0

OpenStudy (candy13106):

ok

OpenStudy (fanduekisses):

ax^2+bx+c my bad

OpenStudy (fanduekisses):

So what can you do to have it in that form? Can you try?

OpenStudy (candy13106):

3r^2-16r-12=0

OpenStudy (fanduekisses):

ok perfect

OpenStudy (campbell_st):

same process as before... multiply a and c then find the factors that add to - 16

OpenStudy (candy13106):

-18 and 2

OpenStudy (candy13106):

r the factors

OpenStudy (fanduekisses):

|dw:1431906871825:dw|

OpenStudy (campbell_st):

that's correct... so start with \[\frac{(3r - 18)(3r + 2)}{3}\] factor the 1st linear factor... you will then see a common factor that cancels with the denominator... what is left is the 2 linear factors

OpenStudy (candy13106):

common factor is 3

OpenStudy (campbell_st):

great so it becomes \[\frac{3(x - 6)(3x + 2)}{3} = (x -6)(3x + 2) \] now you can solve the linear factors if necessary

OpenStudy (campbell_st):

this method avoids the messy cross method stuff..

OpenStudy (candy13106):

ok so i got x=6 and x=2/3

OpenStudy (candy13106):

is that right

OpenStudy (campbell_st):

the 2nd choice should be x = -2/3

OpenStudy (candy13106):

oh

OpenStudy (campbell_st):

x = 6 is correct

OpenStudy (candy13106):

k thanks

OpenStudy (campbell_st):

remember you are solving x - 6 = 0 and 3x + 2 = 0

OpenStudy (candy13106):

oh yea

OpenStudy (candy13106):

can u help me with another question plz

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