Question

Michael is designing a backyard garden. He would like the length of the garden to be 3 feet longer than the width. The area of Michael’s garden is given by x2 + 3x, where x represents the width of the garden. The binomial x + 3 is a factor of the polynomial. What does this factor represent?

Answer 1

Let L = x + 3 (all in feet).

If x^2 + 3x is the area of the garden, and x is the width, then x+3 represents the length of the garden.

Answer 2

X+3 represents the length of the Michael's backyard garden.

Explanation:

Given:

Michael is designing a backyard garden.

Length of the garden =width +3 feet

Let x represent width

Then length = x+3

Area = length x width = x(x+3)

`x^(2) +3x`

Here the area has two factors x and x+3

X+3 represents the length of the Michael's backyard garden.