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Alex Ar [27]
3 years ago
10

The area of a rectangular art studio is given by the trinomial 12x^2 + 5x - 2 What are the

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

ANSWER

(3x + 2) \: by \: (4x - 1)

EXPLANATION

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

12{x}^{2}  + 5x - 2

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:

12{x}^{2}  + 8x  - 3x- 2

Factor by grouping,

4x(3x + 2) - 1(3x + 2) = (3x + 2)(4x - 1)

The possible dimensions are:

(3x + 2) \: by \: (4x - 1)

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