Factor the trinomial below
x^2+17x+72
To factor the trinomial x^2 + 17x + 72, we need to find two numbers that multiply to 72 and add up to 17.
The two numbers that satisfy these conditions are 8 and 9.
Therefore, we can rewrite the trinomial as:
x^2 + 8x + 9x + 72
Now, we can factor by grouping:
x(x + 8) + 9(x + 8)
(x + 8)(x + 9)
So, the factored form of the trinomial x^2 + 17x + 72 is (x + 8)(x + 9).