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?
The area of the garden is given by the trinomial g^2 – 2g – 24.
The garden's length is g + 4.
To find the width of the garden, we need to divide the trinomial by the length.
(g^2 – 2g – 24) / (g + 4)
The trinomial can be factored as (g + 6)(g - 4).
So, we have:
((g + 6)(g - 4)) / (g + 4)
The g + 4 term in the numerator cancels with the g + 4 term in the denominator.
So, the width of the garden is g - 4.