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anonymous
 one year ago
Solve. (18x^3+17x+6)/(3x+2)
Please help! If you can, leave an explanation for the answer! Thanks!
anonymous
 one year ago
Solve. (18x^3+17x+6)/(3x+2) Please help! If you can, leave an explanation for the answer! Thanks!

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2long division 5 steps) \(\huge\color{green}{{1:}}\) Divide the first terms \(\huge\color{green}{{2:}}\) multiply(distribute) \(\huge\color{green}{{3:}}\) subtract all terms \(\huge\color{green}{{4:}}\) carry down \(\huge\color{green}{{5:}}\) repeat dw:1433974939206:dwthere isn't x^2 term in the question but we have to write it in order 3 2 1 0 like this

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0I believe the problem is "simplify" instead of "solve"

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2divide first terms \[\rm \frac{ 18x^3 }{ 3x } = ??\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2x^3 can be written as x times x times x so \[\rm \frac{ x \times x \times x }{ x } = ??\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2nope you can cancel one x right ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\[\rm \frac{ x \times x \times \cancel x }{ \cancel x } = ??\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2now 2nd step dw:1433975352357:dw distribute divisor by 6x^2 so 6x^2 (3x+2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So 18x^2 +4? @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2nope when you multiply same bases you should add their exponents

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I understand. So 18x^3+4 @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2distribute meaning multiply everything which is inside the parentheses by outside term so 6x^2 (3x+2) 6x^2 times 3x = ?? 6x^2 times 2 =?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2yes x^3 is right but there is a little mistake :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So 18x^3 and 12x^2? @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2you forgot negative sign

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh yeah! So 18x^3 and 12x^2? @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433975913009:dw step 3 change sign and then combine like terms :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So 12x^2+17x+6? @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433976142678:dw divide first terms 12x^2/3x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And the next step is to divide 6 by 2? So would the answer be 6x^2+4x+3? @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.24x right now 2nd step distribute!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, I'm confused with what to do next. @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.21st step is divide you did that now 2nd step distribute 4x by divisor

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so do I divide 17x by 4x now? @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2alright nope you don't have to divide by quotient dw:1433976642990:dw divide first terms remember 3x stay same

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2you got 4x now distribute divisor by 4x 4x(3x+2) = ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2remember when you multiply same bases you should add their exponents so 4x times 3x = ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433976885337:dw try!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok so 6x^2+4x+3? @Nnesha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is that the correct answer? @Nnesha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No, because I distributed 4x and I got 12x^2+8x+6 (I just left the 6 by itself) and then I divided that by 2 to simplify the answer. :) @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2alright dw:1433977488813:dw yes that's right 9x/3x = 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok is that all I had to do for that question? @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2that's just quotient what is the remainder answer should be like this \[\large\rm qoutient + \frac{ remainder }{ divisor }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh. I'm not sure what the remainder/divisor would be. @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433977783733:dw remainder that u get at the end after distributing 3 by divisor what did you get ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433977855878:dw change sign at the end and then combine like terms what did yo uget

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think I got 3? @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2nope that's the quotient dw:1433977995683:dw