2. Sample Papers
  3. Railways

Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-7

  • question_answer
    If the HCF of \[{{x}^{3}}+m{{x}^{2}}-x+2m\]and \[{{x}^{2}}+mx-2\]is a linear polynomial, then what is the value of m?

    A)  1                    

    B)  2                    

    C)  3                    

    D)  4                                

    Correct Answer: A

    Solution :

    Let  \[{{f}_{1}}(x)={{x}^{3}}+m{{x}^{2}}-x+2m\] and  \[{{f}_{2}}(x)={{x}^{2}}+mx-2\] Let  \[m=1\] \[\therefore \]  \[{{f}_{1}}(x)={{x}^{3}}+{{x}^{2}}-x+2\] and \[{{f}_{2}}(x)={{x}^{2}}+x-2=(x+2)\,\,(x-1)\] When  \[x=1,\] \[f(1)=1+1-1+2\ne 0\] When \[x=-\text{ }2,\] \[f(-2)={{(-2)}^{3}}+{{(-2)}^{2}}-(-2)+2=0\] Required value of m is 1.


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