Question

HELP.!!!!

The area of a rectangular yard is given by the trinomial 2x^2 + x - 36. What are the possible dimensions of the yard?
A
(2x + 9) and (x-4)
B
(-2x + 9) and (-x + 4)
С
(2x - 2) and (x-4)
D
(2x - 4) and (x + 4)

Answer 1

A . (2x + 9) and (x-4)

Explanation:

Given parameters:

Given trinomial;

2x² + x - 36

Possible dimensions of the yard = ?

Solution:

To solve this apply the quadratic factorization;

2x² + x - 36 = 0

2x² -8x + 9x - 36 = 0

2x(x - 4) + 9(x -4) = 0

(2x + 9) (x -4) = 0

The possible dimensions of the rectangular yard is (2x + 9) and (x -4)