Question

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

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.