Question

The area A (in square feet) of the rectangular shed is given by 6x^3 + 5x^2 + 14x + 24. Use polynomial long division to find an expression for the length (in feet) of the shed.

Answer 1

To find the expression for the length of the shed using polynomial long division, divide the given area polynomial by the polynomial representing the width of the shed. The resulting quotient will be the expression for the length of the shed.

Step-by-step explanation:

To find the expression for the length of the shed using polynomial long division, we have to divide the given area polynomial by the polynomial representing the width of the shed.

Let's assume the length of the shed is represented by the polynomial L(x).

We divide the area polynomial (6x^3 + 5x^2 + 14x + 24) by the polynomial representing the width of the shed using polynomial long division.

The resulting quotient will be the expression for the length of the shed.