10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    \[p\left( x \right)=x-1\] and\[g\left( x \right)={{x}^{2}}-2x+1\], \[p\left( x \right)\] is a factor of g (x)

    A) True

    B) False

    C) Can't Say

    D) Partially True/False

    Correct Answer: A

    Solution :

    p(x)=0
    \[x-1=0\]
    \[x=1\]
    \[g\left( x \right)={{x}^{2}}-2x+1\]
    According to question,
    p (x) is a factor of g (x)
    \[g\text{ }\left( 1 \right)=0\]
    \[g\left( 1 \right)=1-2+1=0\]
    So, p(x) is a factor of g(x)
     


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