Question

give possible expression for the length and the breadth of the rectangle, whose area is

${6x}^{2} + x - 12$

Answer 1

6x²+x-12
On factorizing gives (3x-4)(2x+3),

Area = (3x-4)(2x+3)
Area = Length x Breadth

Hence, there are two possiblities,

CASE1: l=3x-4 
             b=2x+3

CASE2: l=2x+3
             b=3x-4
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