Divide using long division.
-The width of a rectangle is $x - \frac { 1 } { 3 }$ feet and its area is $3 x ^ { 3 } + 17 x ^ { 2 } + 21 x - 9$ square feet. Write a polynomial that represents the length of the rectangle.
A) $3 x ^ { 2 } + 18 x + 27 \mathrm { ft }$
B) $3 \mathrm { x } ^ { 2 } - 18 \mathrm { x } + 27 \mathrm { ft }$
C) $3 x ^ { 2 } + 16 x + \frac { 47 } { 3 } \mathrm { ft }$
D) $3 x ^ { 2 } + 18 x - 27 f t$

Question

Quizplus · Accepted Answer

The correct answer is A because the length of the rectangle is the area divided by the width. So, we divide $3 x ^ { 3 } + 17 x ^ { 2 } + 21 x - 9$ by $x - \frac { 1 } { 3 }$ using long division. The result is $3 x ^ { 2 } + 18 x + 27$.

Divide Using Long Division x−13x - \frac { 1 } { 3 }x−31​

Divide Using Long Division $x - \frac { 1 } { 3 }$