SOLUTION: Factor the following expression completely given that one of the roots is 5: z3 − 1z2 − 41z + 105 =

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Question 1179611: Factor the following expression completely given that one of the roots is 5:
z3 − 1z2 − 41z + 105 =
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
z%5E3-z%5E2-41z%2B105=0 
5   |    1    -1    -41    105
    |          5     20   -105
    |___________________________
         1     4     -21   0

%28z-5%29%28z%5E2%2B4z-21%29=0, and quadratic is easily factorable.

highlight%28%28z-5%29%28z%2B7%29%28z-3%29=0%29