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Mathematics 15 Online
OpenStudy (anonymous):

can somebody please teach me how to factor

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

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

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 \(\large (x-7)(x-7)\)

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

ganeshie8 (ganeshie8):

we cant factor it, its called "prime"

OpenStudy (anonymous):

thanks :)

ganeshie8 (ganeshie8):

u wlc :)

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