Use the given length and area of a rectangle to express the

Use the given length and area of a rectangle to express the width algebraically. (Simplify your answer completely.) Length is 3x - 4, area is 6x^4 - 8x^3 + 9x^2 - 6x - 8

Solution

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Kindly note that Area of a rectangle is given by product of length and width.

Area = Length X Width

Given Area & Length , Hence width is given by

Width = Area / Length

= 6x^4 - 8x^3 + 9x^2 - 6x - 8 / (3x - 4)

By long division method

(3x-4) | 6x^4 - 8x^3 + 9x^2 - 6x - 8 |2x^3 + 3x + 2

6x^4 - 8x^3

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9x^2 - 6x

9x^2 - 12x

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6x - 8

6x - 8

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0

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Hence breadth / width is 2x^3 + 3x + 2.

Solution