Question

CAN I PLEASE GET SOME HELP FOR A MEDAL AND FAN!

Answer 1

Which is a factor of z3 - z2 - 9z + 9?
A) (z - 1)
B) (z + 1)
C) (z - 9)
D) (z + 9)

Answer 2

@ganeshie8

Answer 3

use the factor theorem

if (z - 1) then z = 1 is a zero

so substitute z = 1 and see if f(1) = 0

if it does then (z - 1) is a factor

Answer 4

if not, just repeat the process

Answer 5

z^3 -z^2 -9z +9 =

z^2 *z -z^2 -9z +9 = in case of first two terms what can you factorizing out and so in case of 3rd and 4th terms ?

Answer 6

z^2*(z-1) -9(z-1) = (z-1)(z^2 -9) = (z-1)(z-3)(z+3)