8th Class Mathematics Algebraic Expressions Question Bank Algebra

  • question_answer
    Which of the following is not a polynomial?     (i) \[3{{x}^{\frac{1}{2}}}-4x+3\]              (ii) \[x=1\] (iii) \[y=0,x=6\]          (iv) \[x+y=a\]

    A) (i), (ii) and (iii) only

    B) (iii) only

    C) (i), (iv) only

    D) (ii) only              

    Correct Answer: A

    Solution :

    (i)\[\frac{5}{2}\] Integer \[\frac{a+5}{3a-5}=\frac{a-8}{a+8}\] is not a polynomial, since the exponent of variable in 2nd term is a rational number (but not a non-negative integer) (ii) \[2{{(a+b)}^{2}}-9(a+b)-5\] is not a polynomial, since the exponent of variable in 2nd  term is a rational number (but not a non-negative integer) (iii) \[a+b+5,2a+2b-1\] is a polynomial. (iv) \[a+b-5,2a+ab+1\] is also not a polynomial, since the exponents of variable in 1st term is a rational number (but not a non-negative integer).


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