I need help with this math problem involving polynomial roots! :?

Given the polynomial equation and the one root, find the remaining roots.

6X^3 + 11X^2 - 4X - 4 = 0 ; root = -2

Thank you so much in advance!

2 Answers

Relevance
  • 9 years ago
    Favorite Answer

    start with synthetic division:

         ___________

    -2 ) 6    11 -4  -4

           0  -12   2   4

          ——————

           6    -1  -2   0

    so

    (6x³ + 11x² - 4x - 4) / (x + 2) = 6x² - x - 2

    then

    6x² - x - 2 =

    (3x - 2)(2x + 1)

    so

    remaining roots are:

    x = 2/3 and x = -1/2

    ♣♦

  • Anonymous
    4 years ago

    If a polynomial with rational coef. has the complicated root a+bi it additionally ought to have the cojugate a -bi.So your polinom must be a minimum of (x-2)(x+3)(x+3i)(x-3i) = (x-2)(x+3)(x^2+9) which complies

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