Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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 :

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

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.