the area of rectangular classroom is given by the trinomial 10x^2+3x-4. what are the possible dimensions of classroom? use factoring

1 answer

To find the possible dimensions of the classroom, we need to factor the trinomial.

The expression 10x^2 + 3x - 4 can be factored as (2x - 1)(5x + 4).

To find the dimensions, we set each factor equal to zero and solve for x:

2x - 1 = 0
2x = 1
x = 1/2

5x + 4 = 0
5x = -4
x = -4/5

Therefore, the possible dimensions of the classroom are:
Length: 2x - 1 = 2(1/2) - 1 = 1 - 1 = 0
Width: 5x + 4 = 5(-4/5) + 4 = -4 + 4 = 0

Since both dimensions are zero, it is not feasible to have a classroom with these dimensions.