Divide using long division.
-A rectangle with width $2 x + 3$ inches has an area of $2 x ^ { 4 } + 9 x ^ { 3 } - 11 x ^ { 2 } - 78 x - 72$ square inches. Write a polynomial that represents its length.
A) $x ^ { 3 } + 3 x ^ { 2 } - 10 x - 24$ inches
B) $x ^ { 3 } - 10 x ^ { 2 } + 3 x - 24$ inches
C) $x ^ { 3 } + 8 x ^ { 2 } - 14 x - 24$ inches
D) $x ^ { 3 } - 14 x ^ { 2 } + 8 x - 24$ inches

Question

Quizplus · Accepted Answer

To find the length of the rectangle, divide the area by the width using long division. Dividing $2 x ^ { 4 } + 9 x ^ { 3 } - 11 x ^ { 2 } - 78 x - 72$ by $2 x + 3$ gives $x ^ { 3 } + 3 x ^ { 2 } - 10 x - 24$.

Divide Using Long Division 2x+32 x + 32x+3 Inches Has an Area Of

Divide Using Long Division $2 x + 3$ Inches Has an Area Of