The area of Shyam's rectangular plot is (6x²+x-12) square units. Give possible expression for length and breadth of the plot
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Step-by-step explanation:
Area A = ( 6x² + x - 12)
=> A = L × B
given L × B = 6x² + x - 12
therefore two factors are possible length and breadth
=> 6x² + x - 12 => 6x² + 9x - 8x - 12
=> 3x(2x + 3) - 4(2x + 3)
=> (3x - 4) (2x + 3)
possible length and breadth are 2x + 3 and 3x - 4
Answered by
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Step-by-step explanation:
Area= 6x²+x-12
Thus, factorising the equation,
= 6x²+x-12
= 6x²+(9-8)x-12
= 6x²+9x-8x-12
= 3x(2x+3)-4(2x+3)
= (2x+3)(3x-4)
Thus expression for length and breadth is (2x+3)(3x-4).
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