Answer:
Factor: [tex](x-3)(x-3)[/tex]
Step-by-step explanation:
Given: [tex]x^2-6x+9[/tex]
Factor the given polynomial. It is quadratic equation.
[tex]\Rightarrow x^2-6x+9[/tex]
Using formula: [tex]a^2-2ab+b^2=(a-b)^2[/tex]
So, first we make given polynomial to perfect square.
[tex]\Rightarrow x^2-2\cdot x\cdot 3+3^2[/tex]
[tex]a\rightarrow x[/tex]
[tex]b\rightarrow 3[/tex]
[tex]\Rightarrow (x-3)^2[/tex]
[tex]\Rightarrow (x-3)(x-3)[/tex]
Hence, The factor of given polynomial is [tex]\Rightarrow (x-3)(x-3)[/tex]
