Factorise completely x^3 -6x^2 + 9x

Step 1: If possible take the common of the either variables or constant, and both from all the terms in the equation
EXAMPLE: x^3\ -6x^2\ +\ 9x
x(x^2\ -\ 6x\ +\ 9x)
Step 2: Solve the quadratic equation
Skill 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Skill 2: Use a factoring strategies to factor the problem.
NOTE: Make a list of possible factor pairs with a product of "a*c", and then find the one with a sum of "b".
EXAMPLE: z^2 - 20z + 19
ax^2+\ bx\ +\ c
ac = -19
b = - 20
The factors -1 and 19 have some of -20
Skill 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Skill 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 3: Note down all the factors