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the width of a calculator can be represented by (3x+1) inches. the length of the calculator is twice the width. write a polynomial taht represents the area of the calculator. write your answer in standard form

Sagot :

batolisis

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]

Getting the area polynomial

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]

Expressing the area in standard form

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

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