The area of a rectangular classroom is given by the trinomial 10x^2 + 3x - 4. What are the possible dimensions of the classroom? Use factoring.
(1 point)
(5x - 4) and (2x + 1)
(5x - 4) and (2x - 1)
(5x + 4) and (2x - 1)
(5x + 4) and (2x + 1)
To find the possible dimensions of the classroom, we need to factor the trinomial 10x^2 + 3x - 4.
The factors of 10x^2 are (5x)(2x).
The factors of -4 are (-4)(1).
By trying different combinations of these factors and checking if they add up to the middle term (3x), we find that the correct factorization is:
(5x - 4)(2x + 1)
Therefore, the possible dimensions of the classroom are (5x - 4) and (2x + 1).
The correct answer is (5x - 4) and (2x + 1).