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9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    If \[{{x}^{2}}+x+1\] is a factor of the polynomial   \[3{{x}^{3}}+8{{x}^{2}}+8x+3+5k\], what is the value of\[k\]?

    A)  \[0\]                

    B)         \[2/5\]  

    C)         \[5/2\]              

    D)         \[-1\]               

    Correct Answer: B

    Solution :

    Let \[p(x)=3{{x}^{3}}+8{{x}^{2}}+8x+3+5k\] \[\Rightarrow \]\[-2+5k=0\](Since, it is given tath\[{{x}^{2}}+x+1\]is a factor of\[3{{x}^{3}}+8{{x}^{2}}\]\[+\,8x+3+5k,\])the remainder is equal to 0) \[\Rightarrow \]\[k=\frac{2}{5}\]


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