Question

Before you answer this question, review these methods for factoring quadratic expressions . Michael is designing a backyard garden. He would like the length of the garden to be 3 feet longer than the width. The are 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?
a. The binomial x+3 represents the width of the garden.
b. The binomial x+3 represents the length of the garden.
c. The binomial x+3 represents the area of the garden.
d. The binomial x+3 represents the perimeter of the garden.

Answer 1

The binomial x+3 in the quadratic expression representing the area of the garden stands for the length of the garden, which is 3 feet longer than the width.

Step-by-step explanation:

The student asked what the factor x+3 represents in the quadratic expression x²+3x, which is the area of Michael's garden. Since x represents the width and the garden's length is said to be 3 feet longer than the width, the factor x+3 corresponds to the length of the garden.

Therefore, option b is correct: The binomial x+3 represents the length of the garden.