The area A (in square feet) of the rectangular shed is given by 6x^3+7x^2+11x+21. use polynomial long division to find an expression for the length (in feet) of the shed

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Complete Question

The area A (in square feet) of the rectangular shed is given by 6x³+7x²+11x+21.And one side of the rectangular is 2x+3. Use polynomial long division to find an expression for the length (in feet) of the shed.

3x² - x +7

Step-by-step explanation:

Using the long division method:

We have :

Divisor : 6x³+7x²+11x+21

Dividend : 2x+3

Quotient : the length (in feet) of the shed = ???

Hence, we solve below

6x³+7x²+11x+21 ÷ 2x + 3

3x² -x + 7

2x+3 l 6x³+7x²+11x+21

6x³+9x²

-2x²+11x

-2x²-3x

14x+21

14x+21

0

Therefore, an expression for the length (in feet) of the shed is 3x² - x +7

-4

step-by-step explanation: