factor the polynomial 2x(x-3)+9(x-3)

To factor the polynomial 2x(x-3) + 9(x-3), we first notice that both terms have a common factor of (x-3).

So, we can factor out the (x-3) from both terms:

2x(x-3) + 9(x-3) = (x-3)(2x + 9)

Therefore, the factored form of the polynomial 2x(x-3) + 9(x-3) is (x-3)(2x + 9).