8th Class Mathematics Factorisation Question Bank Factorization

  • question_answer
    Find the degree of \[{{\left( {{x}^{2}}-x \right)}^{2}}\]

    A)  3                                

    B)  4   

    C)  5                    

    D)  6

    Correct Answer: B

    Solution :

    (b): \[{{\left( {{x}^{2}}-x \right)}^{2}}\] By physical inspection and mental calculation, we can see that highest term will be \[={{x}^{4}}=4\Rightarrow degree=4,\] ALITER, by actual calculation \[{{({{x}^{2}}-x)}^{2}}={{\left[ x(x-1) \right]}^{2}}\]             =\[{{x}^{2}}{{(x-1)}^{2}}\] \[{{x}^{2}}({{x}^{2}}-2x+1)\]             \[{{x}^{4}}-2{{x}^{3}}+{{x}^{2}}\] So we get, \[\to {{x}^{4}}\] as highest term \[\Rightarrow \] Degree = 4.


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