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9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    A rectangular field has an area \[(35{{x}^{2}}+13x-12){{m}^{2}}.\]What could be the possible expression for length and breadth of the field?

    A) \[(5x+4)\]and\[(7x-3)m\]

    B) \[(3x+9)m\]and\[(7x-12)m\]

    C)  Both (a) and (b)

    D)  None of these

    Correct Answer: A

    Solution :

    Area of rectangular field \[=35{{x}^{2}}+13x-12\] \[=35{{x}^{2}}+28x-15x-12\] \[=7x(5x+4)-3(5x+4)\] \[=(5x+4)(7x-3)\] So, possible expression for length and breadth of the field are \[(5x+4)m\]and\[(7x-3)m\]


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