Question
The area of a garden is given by the trinomial g2 – 2g – 24. The garden’s length is g + 4. tHE GARDEN length is g + 4 what is the garden width
Answers
GPT 3.5
The garden width can be determined by finding the factors of the trinomial g^2 - 2g - 24.
To factor the trinomial, we can look for two numbers that multiply to -24 and add up to -2. The numbers that satisfy this are -6 and 4.
Therefore, the factored form of the trinomial is (g - 6)(g + 4).
From the given information, we know that the garden length is g + 4.
Since the garden's area is the product of its length and width, we can set up the equation g^2 - 2g - 24 = (g + 4)(g - 6).
Simplifying the equation, we have g^2 - 2g - 24 = g^2 - 2g - 24.
This means that the garden's width is -6.
Therefore, the garden width is -6 units.
To factor the trinomial, we can look for two numbers that multiply to -24 and add up to -2. The numbers that satisfy this are -6 and 4.
Therefore, the factored form of the trinomial is (g - 6)(g + 4).
From the given information, we know that the garden length is g + 4.
Since the garden's area is the product of its length and width, we can set up the equation g^2 - 2g - 24 = (g + 4)(g - 6).
Simplifying the equation, we have g^2 - 2g - 24 = g^2 - 2g - 24.
This means that the garden's width is -6.
Therefore, the garden width is -6 units.