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10th Class Mathematics Polynomials Question Bank Polynomial

  • question_answer
    Identify the zeros of the cubic polynomial \[p\left( m \right)=\text{ }{{m}^{3}}-\text{ }8{{m}^{2}}+19m-12\text{ }.\]

    A)  \[-1,-3,-4\]                    

    B)  \[0,-3,4\]

    C)  \[1,3,4\]

    D)  \[-1,1,12\]

    Correct Answer: C

    Solution :

    (c): Mind of a mathematician First find out TRIVIAL SOLUTION by putting values \[m=0,1,\text{ }2,3,-1,-2,-3p\left( 0 \right)=12\,;\] \[p\left( 1 \right)=\text{ 1}-8+\text{ }19-12=0\Rightarrow \left( m-1 \right)\]is a factor                       


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