Mathematics
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OpenStudy (anonymous):
Algebra 2 help
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OpenStudy (anonymous):
OpenStudy (aravindg):
question please ?
OpenStudy (anonymous):
i posted a picture
hartnn (hartnn):
can you factor p^2-4p-32 ?
OpenStudy (anonymous):
add 4 and 32 together is 36
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hartnn (hartnn):
no...to factor that, you need to find 2 numbers whose product is -32 and sum is -4
OpenStudy (anonymous):
so like -4 x 8?
hartnn (hartnn):
good try !
its -8 and +4
hartnn (hartnn):
so,
p^2-4p-32
=p^2-8p+4p-32
=p(p-8)+4(p-8)
factor out p-8 from that, what u get ?
OpenStudy (anonymous):
p-8;-4?
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hartnn (hartnn):
did you mean (p-8)(p+4)
OpenStudy (anonymous):
but all the answer choices have - 4 at the end
hartnn (hartnn):
yeah, p+4 =0 gives p=-4
OpenStudy (anonymous):
would it be B?
hartnn (hartnn):
yes! good :)
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OpenStudy (anonymous):
how would I start out number 2?
hartnn (hartnn):
you need to factor both num and denom.
can you ?
OpenStudy (anonymous):
im gonna try
OpenStudy (anonymous):
alright i'm confused on how to start it out
hartnn (hartnn):
hint :
+24 = 8*3, 8+3 =11 for numerator
-24 = -8*3 ,-8+3= -5 for denominator.
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hartnn (hartnn):
now can you factor both ?
OpenStudy (anonymous):
which one do i factor?
hartnn (hartnn):
you need to factor both..
hartnn (hartnn):
i'll do the denominator, you do numerator, as its simpler.
q^2-5q-24
= q^2 -8q+3q -24
=q(q-8)+3(q-8)
=(q+3)(q-8)