2. Questions Bank
  3. 9th Class
  4. Mathematics
  5. Polynomials

9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    The remainder when \[{{x}^{4}}-{{y}^{4}}\]is divided by \[x-y\]is ____.

    A)  0                    

    B)        \[x+y\] 

    C)  \[{{x}^{2}}-{{y}^{2}}\]       

    D)        \[2{{y}^{4}}\]

    Correct Answer: A

    Solution :

    Let \[f(x)={{x}^{4}}-{{y}^{4}}\]and \[g(x)=x-y\] Now, \[g(x)=0\Rightarrow x-y=0\Rightarrow x=y\] \[\therefore \]By remainder theorem, we know that when \[f(x)\]is divided by \[g(x).\]then the remainder is \[f(y).\] Now, \[f(y)={{y}^{4}}-{{y}^{4}}=0\]


You need to login to perform this action.
You will be redirected in 3 sec spinner