Divide to determine wheather the following polynomials are factorsof the polynom

Question

Divide to determine wheather the following polynomials are factorsof the polynomial P(x):

P(x) = x^3 + 6x^2 - x - 30

a.x-2     b. x-3     c.x+1

Explanation / Answer

you can use synthetic division to determine by trial and errorwhich is a factor of the polynomial in this case: x - 2 = 0 => x = 2 use synthetic division: 2|    1     6      -1    -30                                                             2   16       30                                                     -----------------------                                                     1      8    15             =>    x2 + 8x + 15  => (x + 5)(x + 3)    (x - 2)(x + 5)(x + 3) = x3 +6x2 - x - 30 so: your answer is a. (x - 2)

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