The area of a garden is given by the trinomial g^2 - 2g - 24. The garden's length is g + 4. What is the garden's width?
a. g - 2
b. g - 6
c. g - 8
d. g + 2
To find the width of the garden, we need to divide the trinomial g^2 - 2g - 24 by the length g + 4.
(g^2 - 2g - 24) ÷ (g + 4)
First, let's factorize g^2 - 2g - 24:
g^2 - 6g + 4g - 24
g(g - 6) + 4(g - 6)
(g + 4)(g - 6)
So, the width of the garden is g - 6.
Therefore, the correct option is:
b. g - 6.