Asked by Finnas
What is the factored form of the polynomial?
x2 − 12x + 27?
(x + 4)(x + 3)
(x − 4)(x + 3)
(x + 9)(x + 3)
(x − 9)(x − 3)
x2 − 12x + 27?
(x + 4)(x + 3)
(x − 4)(x + 3)
(x + 9)(x + 3)
(x − 9)(x − 3)
Answers
Answered by
Bosnian
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 )
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 )
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