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Factorisation of Quadratic Polynomials

Give possible...

Question

Give possible expressions for the length and the breadth of the rectangle whose area is $12 x^{2} - 35 x + 25$

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Solution

12x²- 35x + 25

= 12x² - 20x - 15x + 25

= 4x(3x - 5) - 5(3x - 5)

= (3x - 5)(4x - 5)

Thus,

Length = (3x - 5) and breadth = (4x - 5)

OR

Length = (4x - 5) and breadth = (3x - 5)

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