4 of 44 of 4 Items Question The area of a garden is given by the trinomial g2 – 2g – 24. The garden’s length is g + 4. What is the garden’s width? (1 point) Responses g – 2 g – 2 g – 6 g – 6 g – 8 g – 8 g + 2 g + 2 Skip to navigation
To find the width of the garden, we need to divide the area (trinomial) by the length.
Area = g^2 - 2g - 24
Length = g + 4
Width = Area / Length
Width = (g^2 - 2g - 24) / (g + 4)
Using long division or synthetic division, we can find that g^2 - 2g - 24 = (g + 4)(g - 6)
Therefore, the width of the garden is g - 6. So, the correct answer is g - 6.