Question
The area of a rectangular classroom is given by the trinomial 10^2+3×-4. What are the possible dimensions of the classroom? Use factoring
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GPT 3.5
To find the possible dimensions of the classroom, we need to factor the trinomial 10^2 + 3x - 4.
The trinomial can be factored as follows:
10^2 + 3x - 4 = (10x - 2)(x + 2)
Now we can set each factor equal to 0 and solve for x to find the possible dimensions:
10x - 2 = 0
10x = 2
x = 2/10
x = 1/5
x + 2 = 0
x = -2
Therefore, the possible dimensions of the classroom are 1/5 by 10 and -2 by 10. Since dimensions cannot be negative, the only possible dimensions are 1/5 by 10.
The trinomial can be factored as follows:
10^2 + 3x - 4 = (10x - 2)(x + 2)
Now we can set each factor equal to 0 and solve for x to find the possible dimensions:
10x - 2 = 0
10x = 2
x = 2/10
x = 1/5
x + 2 = 0
x = -2
Therefore, the possible dimensions of the classroom are 1/5 by 10 and -2 by 10. Since dimensions cannot be negative, the only possible dimensions are 1/5 by 10.
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