Question

Give possible expression for the length and breadth of rectangle .Whose area is 6x2+x-12

Answer 1

6x2+x-12

6x2+(9-8)x-12

6x2+9x-8x-12

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

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

Thus the possible expressions of length and breadth are (2x+3)(3x-4)

Answer 2

Given:

6x^2 + x -12

To find :

Find a possible expression for the length and breadth of the rectangle.

Solution:

6x^2 + x -12 = 0

6x^2 + 9x - 8x- 12 = 0

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

We get,

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

Therefore, the possible expressions for the given area, 6x^2 + x - 12 are

(3x - 4) and (2x+3).