Mathematics
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OpenStudy (anonymous):
can somebody please teach me how to factor
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ganeshie8 (ganeshie8):
example :
Factor \(x^2 + 3x + 2\)
ganeshie8 (ganeshie8):
just find out two numbers such that :
product = 2
sum = 3
OpenStudy (anonymous):
im sorry how is the sum 3?
ganeshie8 (ganeshie8):
constant term is 2
the middle coefficient is 3
ganeshie8 (ganeshie8):
lets try :
2*1 = 2
2+1 = 3
So, 2 and 1 will work
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ganeshie8 (ganeshie8):
\(\large x^2 + 3x + 2\)
factors to
\(\large (x+2)(x+1)\)
ganeshie8 (ganeshie8):
we're done,
wana try another example ?
OpenStudy (anonymous):
x2-14x+49
OpenStudy (anonymous):
how would i factor that?
ganeshie8 (ganeshie8):
find two numbers such that :
product = 49
sum = -14
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OpenStudy (anonymous):
find two numbers that equal -14 and multiply to be 49 right?
OpenStudy (anonymous):
-7?
ganeshie8 (ganeshie8):
yes,
-7*-7 = 49
-7 + -7 = -14
So, -7 and -7 will work
OpenStudy (anonymous):
THANK YOU SO MUCH!
ganeshie8 (ganeshie8):
\(\large x^2-14x+49\)
factors to
\(\large (x-7)(x-7)\)
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OpenStudy (anonymous):
so thats how you would wrtie the answer?
ganeshie8 (ganeshie8):
you can simplify it to :
\(\large (x-7)^2\)
OpenStudy (anonymous):
thank you :)
ganeshie8 (ganeshie8):
np :)
OpenStudy (anonymous):
how would i do x2+11x+7
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ganeshie8 (ganeshie8):
we cant factor it,
its called "prime"
OpenStudy (anonymous):
thanks :)
ganeshie8 (ganeshie8):
u wlc :)