Factor z^3 - 2z^2 + 9z-18
10 POINTS

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

Step-by-step 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):

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

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.