Answer:
[tex]3(x+3)(x -1)[/tex]
Step-by-step explanation:
[tex]3x^2 + 6x -9[/tex]
All the terms in this polynomial are divisible by 3. Factor 3 out of this polynomial:
[tex]= 3(x^2 + 2x -3)[/tex]
Now, factor inside the parentheses by grouping:
[tex]= 3(x^2 -1x+3x -3)[/tex]
We knew to split the +2x up into -1x and 3x because -1 and 3 multiply to get -3, which is the last value in the polynomial.
[tex]= 3(x(x -1)+3(x -1))\\= 3(x+3)(x -1)[/tex]
Therefore, the final factored polynomial is [tex]3(x+3)(x -1)[/tex].
