The area of a rectangular barnyard is given by the trinomial 4x2 + 8x - 21. What are the possible dimensions of the barnyard? Use factoring.

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Mathematics

Foley

2 August, 18:30

The area of a rectangular barnyard is given by the trinomial 4x2 + 8x - 21. What are the possible dimensions of the barnyard? Use factoring.

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Alicia Blevins · Answer 1

We are given a polynomial representing the area of a barnyard that is 4x2 + 8x - 21. A rectangle's area is equal to length multiplied by the width which means we can use factoring.

4x2 + 8x - 21

(2x - 3) (2x + 7)

we can countercheck this to verify the polynomial.

In this case, the dimensions are 2x - 3 and 2x + 7.