The area of a rectangular art studio is given by the trinomial 12x^2 + 5x - 2 what are the
possible dimensions of the studio? use factoring

ANSWER

EXPLANATION

The area of a rectangular art studio is given by the quadratic trinomial:

By comparing this to:

ax²+bx+c

We have a=12, b=5, and c=-2

ac=12*-2=-24

The factors of -24 that gives a sum of 5 are 8,-5

We split the middle term with these factors to get:

Factor by grouping,

The possible dimensions are:

i think the amount would be $140.62