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13 votes
Factor z^3 - 2z^2 + 9z-18
10 POINTS!!!!

User Janisse
by
8.3k points

1 Answer

12 votes

Answer:

(z - 2) (z^2 + 9)

Explanation:

Factor the following:

z^3 - 2 z^2 + 9 z - 18

Hint: | Factor pairs of terms in z^3 - 2 z^2 + 9 z - 18 by grouping.

Factor terms by grouping. z^3 - 2 z^2 + 9 z - 18 = (z^3 - 2 z^2) + (9 z - 18) = z^2 (z - 2) + 9 (z - 2):

z^2 (z - 2) + 9 (z - 2)

Hint: | Factor common terms from z^2 (z - 2) + 9 (z - 2).

Factor z - 2 from z^2 (z - 2) + 9 (z - 2):

Answer: (z - 2) (z^2 + 9)

User Misolo
by
8.0k points

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