For the quadratic polynomial $p(x) = ax^2 + bx + c$; if $a = 6$,$b = 11$,and $c = 4$,then the quadratic polynomial is..........

  • A
    $p(x) = 4x^2 + 11x + 6$
  • B
    $p(x) = 11x^2 + 4x + 6$
  • C
    $p(x) = 6x^2 + 4x + 11$
  • D
    $p(x) = 6x^2 + 11x + 4$

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Answer the following and justify: Can $x^{2}-1$ be the quotient on division of $x^{6}+2 x^{3}+x-1$ by a polynomial in $x$ of degree $5$?

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