What is the factored form of the polynomial?
x2 - 12x + 27
Options
x + 4)(x + 3)
(x - 4)(x+3)
(x + 9)(x + 3)
(x-9)(x-3)
The factored form of the polynomial is: (x - 3)(x - 9)
Given that the polynomial is:
[tex]x^2 -12x + 27[/tex]
We have to factor the above given polynomial
From given,
[tex]x^2 -12x + 27\\\\\mathrm{Break\:the\:expression\:into\:groups}\\\\\left(x^2-3x\right)+\left(-9x+27\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-3x\\\\x(x - 3) + (-9x + 27)\\\\\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9x+27\\\\x(x - 3) -9(x - 3)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x-3\\\\\left(x-3\right)\left(x-9\right)[/tex]
Thus the factored form is found
