7th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions

  • question_answer
    The real factors of \[{{x}^{4}}+9\]are

    A) \[\left( {{x}^{2}}+3 \right)\left( {{x}^{2}}+3 \right)\]

    B) \[\left( {{x}^{2}}+3 \right)\left( {{x}^{2}}-3 \right)\]

    C)  \[\left( {{x}^{2}}+2x+3 \right)\,\left( {{x}^{2}}-3x+3 \right)\]

    D)  Does not exist

    Correct Answer: D

    Solution :

    \[{{x}^{4}}\]is always positive for all values of x. \[\therefore \]\[{{x}^{4}}+9\]is also always positive and never zero.


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