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

9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    2 is a root of \[\mathbf{k}{{\mathbf{x}}^{\mathbf{4}}}-\mathbf{13}{{\mathbf{x}}^{\mathbf{3}}}+\mathbf{k}{{\mathbf{x}}^{\mathbf{2}}}+\mathbf{12x}.\]What is the value of k?

    A)  \[k=1\]                        

    B)  \[k=2\]         

    C)  \[k=3\]                        

    D)  \[k=4\]

    Correct Answer: D

    Solution :

    (d): \[p\left( 2 \right)=0~\,\,\,k{{\left( 2 \right)}^{4}}-13{{\left( 2 \right)}^{3}}+k{{\left( 2 \right)}^{2}}+12\times 2=0\] \[\Rightarrow 16k-104+4k+24=0\] \[\Rightarrow 20k=80\Rightarrow k=4\]


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