f(x) = 9x^3 + 2x^2 - 5x + 4
and
g(x) =5x^3 - 7x + 4
...
What is f(x) - g(x)?
Pls show step by step :)
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OpenStudy (qwertykingghlpo):
@Mahoganie.Carson
OpenStudy (qwertykingghlpo):
@ILovePuppiesLol
OpenStudy (qwertykingghlpo):
@ganeshie8
OpenStudy (qwertykingghlpo):
@PillowFace750
OpenStudy (qwertykingghlpo):
@shamil98 (this is appropriate)
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OpenStudy (liz_beauty45):
wow people are working at this time??
OpenStudy (qwertykingghlpo):
haha ye.
OpenStudy (usukidoll):
hey there.
so the first step is to put our equation in f(x) - g(x) form
since f(x) = 9x^3+2x^2-5x+4 and g(x) = 5x^3-7x+4
f(x) -g(x) must be
9x^3+2x^2-5x+4 -( 5x^3-7x+4)
but that's just the first step
next step is to distribute the negative on the right hand side of the equation
third and final step is to combine like terms
OpenStudy (qwertykingghlpo):
mkay :P
OpenStudy (usukidoll):
second step distributing the - on the right hand side of the equation
9x^3+2x^2-5x+4 -( 5x^3-7x+4)
9x^3+2x^2-5x+4 -5x^3+7x-4
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OpenStudy (usukidoll):
we can also rearrange the equation to make it easier to combine like terms
so instead of
9x^3+2x^2-5x+4 -5x^3+7x-4
we have
9x^3-5x^3+2x^2-5x+7x+4-4
now just subtract like terms and we're done
OpenStudy (qwertykingghlpo):
@UsukiDoll You freakin rock! :P
OpenStudy (usukidoll):
thanks. can you handle the problem from here? or do you need further assistance?
OpenStudy (qwertykingghlpo):
um could you do this last part just to make sure I get it right? :)
OpenStudy (usukidoll):
sure
9x^3-5x^3+2x^2-5x+7x+4-4
4x^3+2x^2+2x
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OpenStudy (qwertykingghlpo):
Thank you :)
OpenStudy (qwertykingghlpo):
is this in factored form? @UsukiDoll
Directrix (directrix):
No. Not in factored form.
4x^3+2x^2+2x =
2x * ( 2x^2 + x + 1)
@qwertykingGHLPO
OpenStudy (usukidoll):
I can't believe I got this late. ugh os lag. anyway the 2x is taken out and you're left with what Directrix wrote