The polynomial that expresses the area of the calculator is [tex]18x^2+12x+2[/tex]. The answer cannot be expressed in standard form.
The calculator has the shape of a rectangle. To find the area of a rectangle, we use the formula
[tex]A=lw[/tex]
where
[tex]l=\text{the length of the rectangle, or calculator}\\w=\text{the width of the rectangle, or calculator}[/tex]
From the question
[tex]w=3x+1\\l=2(3x+1)[/tex]
Thus, the area of the calculator will be
[tex]A=lw\\=2(3x+1)(3x+1)[/tex]
We need a polynomial expression for the area of the calculator, so we expand the above expression
[tex]A=2(3x+1)(3x+1)\\=2(9x^2+6x+1)\\=18x^2+12x+2[/tex]
As to expressing the area in standard form, since the value of [tex]x[/tex] is unknown, we cannot substitute and simplify the polynomial expression.
Since we need a number in order to express the area in standard form, the result cannot be expressed in standard form.
Learn more about areas here https://brainly.com/question/1351590
