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Mathematics 13 Online
OpenStudy (ashontae19):

checking answers on polyonimals

OpenStudy (ashontae19):

@Michele_Laino

OpenStudy (ashontae19):

OpenStudy (michele_laino):

in a polynomial of \(n-\)th degree there are \(n+1\) constants or coefficients

OpenStudy (michele_laino):

I think it is correct!

OpenStudy (ashontae19):

so which one was wrong?

OpenStudy (michele_laino):

for first question about the perimeter, I need to know the text whereas for second question, I think you are right

OpenStudy (ashontae19):

was it about name thr polynomials?

OpenStudy (michele_laino):

a \(3-\)degree polynomial, can be called trinomial of third degree

OpenStudy (michele_laino):

it can also be called cubcic function, or cubic polynomial

OpenStudy (ashontae19):

http://prntscr.com/92eqtv

OpenStudy (ashontae19):

can you see that?

OpenStudy (michele_laino):

yes! Please wait, I'm computing the requested perimeter...

OpenStudy (ashontae19):

OK

OpenStudy (michele_laino):

here is my result for perimeter: \[\Large 20{x^5} + 56{x^4} + 26{x^3} + 26{x^2} + 64x + 16\]

OpenStudy (ashontae19):

could you show your work so i can get it

OpenStudy (ashontae19):

so was my answer wrong because i got 20x^5+4x^4-2x^3-4x^2?

OpenStudy (michele_laino):

here is my computation: \[\begin{gathered} p = 2\left( {6{x^2}} \right) + 4\left( {2{x^5} + 4{x^4} + 4{x^3} + {x^2} + 5x} \right) + 4\left( {4x} \right) + \hfill \\ + 2\left( {3{x^4} - 2} \right) \hfill \\ + 2\left( {4{x^4} + 3{x^3} + {x^2} + 4x} \right) \hfill \\ + 4\left( {3{x^5} + 5{x^4} + {x^3} + 2{x^2} + x + 6} \right) + 4\left( {4x} \right) + \hfill \\ + 2\left( {3{x^4} - 2} \right) \hfill \\ \end{gathered} \]

OpenStudy (ashontae19):

ok thanxs what about my other answers?

OpenStudy (michele_laino):

please wait a moment I'm working on your question...

OpenStudy (michele_laino):

I got this: \[\begin{gathered} difference = 2\left( {3{x^5} + 2x + 3{x^4} - 2{x^2}} \right) - \hfill \\ - 2\left( {2{x^5} + 3x + {x^4} + {x^3} - x} \right) = \hfill \\ = 2{x^5} + 4{x^4} - 2{x^3} - 4{x^2} \hfill \\ \end{gathered} \]

OpenStudy (ashontae19):

for which one?

OpenStudy (michele_laino):

2-nd question of "Mega Mansion Problem"

OpenStudy (ashontae19):

ok what about the last one?

OpenStudy (michele_laino):

here is the right formula: \[Volume = \left( {3{x^5} + 2x} \right)\left( {3{x^4} - 2{x^2}} \right)4x = ...?\] please continue

OpenStudy (ashontae19):

okay so was i right?

OpenStudy (michele_laino):

I'm sorry, your answer is wrong

OpenStudy (ashontae19):

okay so yours is right the one above?

OpenStudy (michele_laino):

yes! please continue, it is the first step

OpenStudy (michele_laino):

hint: here is the next step: \[\begin{gathered} Volume = \left( {3{x^5} + 2x} \right)\left( {3{x^4} - 2{x^2}} \right)4x = ...? \hfill \\ = \left( {3{x^5} + 2x} \right)\left( {12{x^5} - 8{x^3}} \right) = ...? \hfill \\ \end{gathered} \]

OpenStudy (ashontae19):

you want me to finish it @Michele_Laino

OpenStudy (michele_laino):

here is my result: \[\begin{gathered} Volume = \left( {3{x^5} + 2x} \right)\left( {3{x^4} - 2{x^2}} \right)4x = ...? \hfill \\ = \left( {3{x^5} + 2x} \right)\left( {12{x^5} - 8{x^3}} \right) = ...? \hfill \\ = 36{x^{10}} - 24{x^8} + 24{x^6} - 16{x^4} \hfill \\ \end{gathered} \]

OpenStudy (ashontae19):

(6x^5)(4x^2)

OpenStudy (michele_laino):

you have to apply the "foil" method to this step: \[\left( {3{x^5} + 2x} \right)\left( {12{x^5} - 8{x^3}} \right) = ...?\]

OpenStudy (michele_laino):

or the distributive property of multiplication over addition

OpenStudy (ashontae19):

36x^10-24x^8 +24x^6-16x^4

OpenStudy (michele_laino):

correct!

OpenStudy (ashontae19):

foreal?!! thanxs is that the answer though??

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