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10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    \[p\left( x \right)=5{{x}^{3}}-3{{x}^{2}}+7x+2\], then match the value of Column I with that of
    Column I Column II
    A. p(1) P. 2
    B. p(0) Q. 11
    C. p(5) R. -13
    D. p(-1) S. -64
    E. p(-2) T. 587

    A) A-Q,     B-T,      C-R,      D-P,      E-S

    B) A-Q,     B-R,      C-T,      D-S,      E-P

    C) A-Q,     B-P,      C-T,      D-R,      E-S

    D) A-T,      B-R,      C-Q,     D-S,      E-P

    Correct Answer: C

    Solution :

    \[p\left( x \right)=5{{x}^{3}}-3{{x}^{2}}+7x+2\]
     [A] \[p\left( 1 \right)=5-3+7+2=11\]
     [B] \[p\left( 0 \right)=5{{\left( 0 \right)}^{3}}-3{{\left( 0 \right)}^{2}}+7\times 0+2=2\]
     [C] \[p\left( 5 \right)=5{{\left( 5 \right)}^{3}}-3{{\left( 5 \right)}^{2}}+7\times 5+2\]
    \[=625-75+35+2=587\]
     [D] \[p\left( -1 \right)=5{{\left( -1 \right)}^{3}}-3{{\left( -1 \right)}^{2}}+7\times \left( -1 \right)+2\]
                            \[=-5-3-7+2=-13\]
     [E] \[p\left( -2 \right)=5{{\left( -2 \right)}^{3}}-3{{\left( -2 \right)}^{2}}+7\times \left( -2 \right)+2\]
                            \[=-40-12-14+2=-64\]
     


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