Question

what is an expression taht represents the area of the rectangle room? how can the expression be rewrite as an polynomial in standard form?

Answer 1

• (4x-1)(3x+6)

,

• 12x²+21x-6

Step-by-step explanation:

From the diagram

Width of the rectangular room = 3x+6

Length of the rectangular room = 4x-1

Area of a rectangle = Lenght x Width

So, an expression that represents the area of the rectangular room is:

`A=\mleft(4x-1\mright)(3x+6)`

To rewrite the expression as a polynomial in standard form, we expand:

`\begin{gathered} A=4x(3x+6)-1(3x+6) \\ =12x^2+24x-3x-6 \\ =12x^2+21x-6 \end{gathered}`

The polynomial in standard form is: 12x²+21x-6