Question

A farmer must add the areas of two plots of land to determine the amount of seed to plant. The area of plot Acan be represented by 32? + 71-5, and the area of plot B can be represented by 522-4x + 11. Write a polynomialthat represents the total area of both plots of land.A)872 - 31+ 6B)- 2r + 117 - 16C)- 2r? + 3x + 6D)081° +33 +6

Answer 1

Plot A is represented by:

`3x^2\text{ + 7x - 5}`

Plot B is represented by:

`5x^2\text{ - 4x + 11}`

We want to find the polynomial that represents the total area of both plots of land.

The total area of land will be represented by the sum of the two polynomials representing the two areas, A and B:

`\begin{gathered} (3x^2+7x-5)+(5x^2\text{ - 4x + 11)} \\ 3x^2+7x-5+5x^2\text{ - 4x + 11} \\ 3x^2+5x^2\text{ + 7x - 4x - 5 + 11} \\ 8x^2\text{ + 3x + 6} \end{gathered}`

This is the polynomial that represents the total area of land.

Option D