Question

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

Answer 1

To find the possible dimensions of the classroom, we need to factor the trinomial 10x + 3x - 4.

First, combine like terms to get:
10x + 3x - 4 = 13x - 4

Now, we need to factor this trinomial. Since the trinomial does not have a common factor, we can use the grouping method.

13x - 4 can be written as (13x + a)(x - b), where a and b are the values we need to find in order to factor the trinomial.

To find the values of a and b, we need to multiply the coefficients of x in both pairs of the factors:
a * b = -4
a + b = 13

The possible values of a and b that satisfy these conditions are:
a = 4, b = -1
a = -4, b = 1

Therefore, the possible dimensions of the classroom are:
(13x + 4)(x - 1)
(13x - 4)(x + 1)