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Mathematics 7 Online
OpenStudy (anonymous):

someone please help!!!!!!!!!!!!!

OpenStudy (anonymous):

if need help type of upload a picture of the problem

OpenStudy (anonymous):

yeah sorry i was about to upload a pic

OpenStudy (anonymous):

OpenStudy (anonymous):

i dont know if you could see that or not???

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

and last one, i promise haha

OpenStudy (anonymous):

OpenStudy (anonymous):

\[x ^{3}+3x ^{2}-18x \rightarrow x(x^{2}-3x-18)\] thus \[x(x^{2}-3x-18)=(x)(x+6)(x-3)\]

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?

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

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

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

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

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!

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

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?

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

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

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

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.

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

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

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?

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):

......

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

jimthompson5910 (jim_thompson5910):

if we swap the signs, we get 5 times -7 = -35 5 + (-7) = -2 so both now work

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