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OpenStudy (anonymous):
that is question 24
OpenStudy (anonymous):
wait im so confused?
OpenStudy (anonymous):
@ineedhelpnow08
OpenStudy (anonymous):
confused on what part?
OpenStudy (anonymous):
thats not the final answer right, so what else do i do after that?
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OpenStudy (anonymous):
it is its the 3rd choice
OpenStudy (anonymous):
x , (x+6) and (x-3)
OpenStudy (anonymous):
ohhhhh okay thank you!!
OpenStudy (anonymous):
do you know how to do the rest?
OpenStudy (anonymous):
wait thats the second choice lol
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OpenStudy (anonymous):
wait wait its
b)x,x+3 and x-6
c)x,x-3 and x+6
OpenStudy (anonymous):
its the 3rd one, (x+6)
OpenStudy (anonymous):
and nooo i actually dont these problems were the hardest on the it was 25 questions and i didnt understand these
OpenStudy (anonymous):
alright first you simplified it, on question 24's case you take the x out side to get x(x2−3x−18)
OpenStudy (anonymous):
isnt the problem x^3+3x^2-18x
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OpenStudy (anonymous):
how'd you get that????
OpenStudy (anonymous):
yes, you can simplify it finding the greatest common factor which is x
so you can bring it out and get x(x^2+3x-18)
OpenStudy (anonymous):
it basically means x times the expression in the parenthesis which you can get the original answer
OpenStudy (anonymous):
ohhh right the gcf, if you're not busy can you walk me through the rest?
OpenStudy (anonymous):
ill go over this problem then i got to go to sleep big AP calc test tomarrow
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OpenStudy (anonymous):
when you get x(x^2−3x−18)
you factor it out
(x)(x+6)(x−3) and should get these
OpenStudy (anonymous):
omg no thats okay you should go, sorry!
OpenStudy (anonymous):
its alright
OpenStudy (anonymous):
him maybe i could find others to help
OpenStudy (anonymous):
@jim_thompson5910 sorry, can you help out a bit i got to go
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OpenStudy (anonymous):
hahaha thanks
OpenStudy (anonymous):
no problem, he might be busy though so yeah..
OpenStudy (anonymous):
its okay i can wait, but you should go sleep lol calculus is hard, so ive heard
OpenStudy (anonymous):
yeah, not doing so hot in that class, well good night!
OpenStudy (anonymous):
aw, haha night!
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jimthompson5910 (jim_thompson5910):
To factor x^2+3x-18, you need to find two numbers that
multiply to -18 (last term)
AND
add to 3 (middle term)
jimthompson5910 (jim_thompson5910):
so what two numbers multiply to -18 AND add to 3?
OpenStudy (anonymous):
6 x 3 and 9 x 2 ?
OpenStudy (anonymous):
oh wait you said negative
jimthompson5910 (jim_thompson5910):
yeah we need -18, not +18
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OpenStudy (anonymous):
-6 x 3
OpenStudy (anonymous):
-9 x 2
OpenStudy (anonymous):
am i right?
jimthompson5910 (jim_thompson5910):
-6 x 3 = -18 ... works
-6 + 3 = -3 ... doesn't work (we need +3, not -3)
OpenStudy (anonymous):
so are you trying say it would be x, x +3 and x-6?
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jimthompson5910 (jim_thompson5910):
no I'm saying that the two numbers aren't -6 and 3 because -6 + 3 = -3
we want the two numbers to add to positive 3 (the coefficient of the middle term)
jimthompson5910 (jim_thompson5910):
however, the two numbers 6 and -3 work since
6 * (-3) = -18
6 + (-3) = 3
jimthompson5910 (jim_thompson5910):
which means x^2 + 3x - 18 factors to (x+6)(x - 3)
OpenStudy (anonymous):
wait does order matter because thats not one of the choices
jimthompson5910 (jim_thompson5910):
order doesn't matter
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jimthompson5910 (jim_thompson5910):
(x+6)(x-3) is the same as (x-3)(x+6)
since you can multiply in any order
OpenStudy (anonymous):
oh okay thanks!
jimthompson5910 (jim_thompson5910):
you're welcome
OpenStudy (anonymous):
okay how about this one
OpenStudy (anonymous):
what is the factored form of the expression?
t^2 - 25
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jimthompson5910 (jim_thompson5910):
hint: 25 is a perfect square (since 5^2 = 25)
OpenStudy (anonymous):
im confused would it be (t+25)(t-1) or (t+5)^2
jimthompson5910 (jim_thompson5910):
you would use the difference of squares formula
\[\Large a^2 - b^2 = (a+b)(a-b)\]
jimthompson5910 (jim_thompson5910):
in this case, a = t, b = 5, so...
\[\Large a^2 - b^2 = (a+b)(a-b)\]
\[\Large t^2 - 5^2 = (t+5)(t-5)\]
\[\Large t^2 - 25 = (t+5)(t-5)\]
OpenStudy (anonymous):
ohhhh factoring right sorry i was doing something else but thank you! for helping out lol
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jimthompson5910 (jim_thompson5910):
you're welcome
OpenStudy (anonymous):
can you help me with about 4 more?
OpenStudy (anonymous):
i mean only if you want! and you're not busy or anything
jimthompson5910 (jim_thompson5910):
sure I can help
OpenStudy (anonymous):
a freezer has a volume given by the trinomial y^3 -2y^2-35y. what are the possible dimensions of the box. use factoring.
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jimthompson5910 (jim_thompson5910):
first factor out the GCF
OpenStudy (anonymous):
the gcf of?
jimthompson5910 (jim_thompson5910):
of the 3 terms
jimthompson5910 (jim_thompson5910):
what is the greatest common factor of y^3, -2y^2, -35y
OpenStudy (anonymous):
how would you get a gcf out of them all? i dont get it i mean i can get a gcf out of one, should i do them each separately
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jimthompson5910 (jim_thompson5910):
think of y^3 as y*y*y
jimthompson5910 (jim_thompson5910):
think of y^2 as y*y
jimthompson5910 (jim_thompson5910):
so we really have these 3 terms
y*y*y
-2*y*y
-35*y
what is the common factor in ALL 3 terms?
OpenStudy (anonymous):
there isnt a number that both goes through -2 and -35 so i dont get it?
OpenStudy (anonymous):
the common factor would be y though ? idk i feel so stupid
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jimthompson5910 (jim_thompson5910):
you are correct, it is y
jimthompson5910 (jim_thompson5910):
y is found in all 3 terms, so that's the GCF
jimthompson5910 (jim_thompson5910):
what do you get when you factor out the GCF y?
OpenStudy (anonymous):
you get 2 - 35
OpenStudy (anonymous):
wait factor?
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jimthompson5910 (jim_thompson5910):
y^3 - 2y^2 - 35y
y*y*y - 2y*y - 35y ... break up y^3 and y^2
y( y*y - 2*y - 35 ) ... use the distributive property to factor out y
y( y^2 - 2y - 35) ... multiply y*y to get y^2
jimthompson5910 (jim_thompson5910):
see how I'm getting that?
OpenStudy (anonymous):
i thin kso
jimthompson5910 (jim_thompson5910):
now you must factor y^2 - 2y - 35
OpenStudy (anonymous):
......
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jimthompson5910 (jim_thompson5910):
to factor y^2 - 2y - 35, you must find two numbers that multiply to -35 and add to -2
OpenStudy (anonymous):
,-5 x 7 equals -35
jimthompson5910 (jim_thompson5910):
but -5 + 7 = +2
OpenStudy (anonymous):
so am i supposed to multiply or add?
jimthompson5910 (jim_thompson5910):
-5 times 7 = -35, that is correct
but -5 + 7 is NOT -2 like we want
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jimthompson5910 (jim_thompson5910):
if we swap the signs, we get
5 times -7 = -35
5 + (-7) = -2
so both now work