Skip to main content
Global

1.5E : Factorisation des polynômes (exercices)

  1. Last updated
  2. Save as PDF
  • Page ID
    195311

    • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    Pour les exercices suivants, trouvez le plus grand facteur commun.

    45. \(81 p+9 p q-27 p^{2} q^{2}\)
    46. \(12 x^{2} y+4 x y^{2}-18 x y\)
    47. \(88 a^{3} b+4 a^{2} b-144 a^{2}\)

    Pour les exercices suivants, factorisez le polynôme.

    48. \(2 x^{2}-9 x-18\)
    49. \(8 a^{2}+30 a-27\)
    50. \(d^{2}-5 d-66\)
    51. \(x^{2}+10 x+25\)
    52. \(y^{2}-6 y+9\)
    53. \(4 h^{2}-12 h k+9 k^{2}\)
    54. \(361 x^{2}-121\)
    55. \(p^{3}+216\)
    56. \(8 x^{3}-125\)
    57. \(64 q^{3}-27 p^{3}\)
    58. \(4 x(x-1)^{-\frac{1}{4}}+3(x-1)^{3}\)
    59. \(3 p(p+3)^{\frac{1}{3}}-8(p+3)^{\frac{4}{3}}\)
    60. \(4 r(2 r-1)^{-\frac{2}{3}}-5(2 r-1)^{\frac{1}{3}}\)