Answer:
Factors are x = -3 , x = 9.
Step-by-step explanation:
Given : x² − 6x − 27 = 0.
To find : factor.
Solution : We have given that
x² − 6x − 27 = 0.
On factoring
x² − 9x + 3x − 27 =0 .
Taking common x from first two term and 3 from last two terms.
x ( x -9) +3 (x -9) = 0.
On grouping
(x +3) ( x -9) = 0.
For x + 3 = 0
x = -3 .
For x -9 =0
x = 9.
Therefore, Factors are x = -3 , x = 9.