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anonymous
 one year ago
Divide Polynomials? (27x^418x^3+9x^2)/3x
anonymous
 one year ago
Divide Polynomials? (27x^418x^3+9x^2)/3x

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1for long 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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you show me how?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1so divide first terms \[\huge\rm \frac{ 27x^4 }{ 3x } =?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.09x but what is the exponent rule?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok page works now. 9x3?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1when we divide same bases we should subtract their exponents or x^4 is same as x times x times x times \[\huge\rm \frac{ 27 ⋅x ⋅x⋅x⋅x }{3⋅x}\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes that's right now multiply the divisor by 9x^3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the final answer is 9x^3+6x^2+3x

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.19x^3 times 3x = 27x^4 and then change the sign first term would cancel out the repeat those steps dw:1441649027500:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok I see! Thanks!!! I assume multiplying is adding exponents so just the division in reverse?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1multiply same bases `ADD` exponents \[\rm x^m \times x^n =x^{m+n}\] divide same bases `subtract` exponents \[\rm \frac{ x^m }{x^n }=x^{mn}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0btw, what if there's more after the variable in the divisor. say 3x2?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1then you have to multiply by both terms like 9x^3(3x2) 9x^3 times 3x  9x^3 times 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what would 9x^3 times 2 look like

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1lets say dw:1441649570148:dwthere is 3x2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1just multiply the coefficients\[\huge\rm 9x^3 \times 2=(9 \times 2)x^3\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but where do you go from there? how does it get to the next step?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1just repeat the steps divide first terms multiply the result by the divisor change signs

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but what's the point of the 2 then? idk im confused. i guess where do you put the 18x3?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1coefficients should be the same so 9x^3 times 2 = 18x^3 <3rd degree so put under the x^3 term

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh i see, it cancels out? so it's 9x^2 / 3x2 now?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok i think i got it now.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1no just divide first terms !

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1first term of polynomial by first term of divisor so it would be \[\huge\rm \frac{ 9x^2 }{ 3x }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i have to go be back in a while

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@nnesha are you still here? ok i was using 9x^3 as an example. the real problem is 6x^3+11x^24x4 / 3x2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1so first terms are 6x^3 and first term of divisor is 3x divide 6x^3/3x
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