What is the factored form of the polynomial?

Question

x2 − 12x + 27?

(x + 4)(x + 3)
(x − 4)(x + 3)
(x + 9)(x + 3)
(x − 9)(x − 3)

Answer 1

x² - 12 x + 27 = ( x² - 3 x ) + ( - 9 x + 27) =

x ( x - 3 ) - 9 ( x - 3 ) = ( x - 3 ) ( x - 9 )

OR

Solve quadratic equation:

x² - 12 x + 27 = 0

The solution are x₁ = 3 and x₂ = 9

Any quadratic equation can write as:

x² + p x + q = ( x - x₁ ) ( x - x₂ )

In this case:

x² - 12 x + 27 = ( x - 3 ) ( x - 9 )

Of course:

( x - 3 ) ( x - 9 ) = ( x - 9 ) ( x - 3 )