Question

Factorise each of the following polynomial by regrouping.

( z - 1) - 3 ( z - 1)² + q - qz​​

Answer 1

$( z - 1) - 3 {(z - 1)}^{2} + q - qz$

$\implies ( z - 1) - 3 {(z - 1)}^{2} - q( z - 1)$

$\implies [z - 1] [1- 3 (z - 1) - q]$

$\implies [z - 1] [1- 3 z + 3 - q]$

$\orange{ \therefore (z - 1) (4 - q- 3 z )}$