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9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    The factorization of \[\mathbf{4}{{\mathbf{a}}^{\mathbf{2}}}-\mathbf{4a}+\mathbf{1}\] is

    A)  \[\left( 2a-1 \right)\left( 2a+1 \right)\]       

    B)  \[\left( 2a-1 \right)\left( 1-2a \right)\]  

    C)  \[\left( 2a+1 \right)\left( 2a+1 \right)\]      

    D)  \[\left( 2a- \right)\left( 2a-1 \right)\]

    Correct Answer: D

    Solution :

    (d) \[4{{a}^{2}}-4a+1={{(2a)}^{2}}-2.2a.1+{{1}^{2}}\] \[={{\left( 2a-1 \right)}^{2}}=\left( 2a-1 \right)\left( 2a-1 \right)\]


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