2. Sample Papers
  3. SSC

SSC Sample Paper Mock Test-13 SSC CGL Tear-II Paper-1

  • question_answer
    The LCM of two polynomials \[p\,\,(x)\] and \[q\,\,(x)\]is \[{{x}^{3}}-7x+6.\]If\[p\,\,(x)={{x}^{2}}+2x-3\]and \[q\,\,(x)={{x}^{2}}+x-6,\] then the HCF is

    A)  \[(x+3)\]

    B)  \[(x-3)\]

    C)  \[(x+3)(x-2)\]

    D)         \[(x-1)\]

    Correct Answer: A

    Solution :

    Here, LCM \[=({{x}^{3}}-7x+6)\] or \[{{x}^{3}}-7x+6=(x+3)(x-2)(x-1)\] By synthetic division as \[(x-1)\]is a factor, so \[1\,\,\left| \!{\nderline {\,   \begin{matrix}    1 & 0 & -7 & 6  \\    {} & 1 & 1 & -6  \\    1 & 1 & -6 & 0  \\ \end{matrix} \,}} \right. \] \[q\,\,(x)={{x}^{2}}+x-6=(x+3)(x-2)\] \[p\,\,(x)=(x+3)(x-1)\] \[HCF=\frac{p\,\,(x)\times q\,\,(x)}{LCM}=\frac{(x+3)(x-1)\times (x+3)(x-2)}{(x-1)(x-2)(x+3)}\]      \[=(x+3)\]


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