Question

1. A soccer field has an area (A = LW) that is represented by the polynomial 1 point

Answer 1

Answer:

$(x + 6)(x - 6)$

Step-by-step explanation:

Given

See attachment for soccer field

Required

The possible dimension of the field

From the attachment, we have:

$Area = x^2 - 36$

$Length = x +a$

$Width = x + b$

So, we have:

$Length * Width = Area$

This gives:

$(x + a)(x + b) = x^2 - 36$

Express 36 as 6^2

$(x + a)(x + b) = x^2 - 6^2$

Express as difference of two squares

$(x + a)(x + b) = (x + 6)(x - 6)$

Hence, the dimension is: $(x + 6)(x - 6)$