Factor the trinomial 2x^2+11x+15
We need to find two binomials whose product is equal to 2x^2+11x+15.
The first term of each binomial will be the factors of 2x^2, which are 2x and x.
The last term of each binomial will be the factors of 15, which are 1 and 15 or -1 and -15.
To get the middle term of 11x, we can use the sum of the outer and inner products.
The outer product is 2x * 15 = 30x, and the inner product is x * 1 = x.
Adding the outer and inner products together, we get 30x + x = 31x.
Since we want the middle term to be positive 11x, we can use the factors 1 and 15.
So, the factored form of 2x^2+11x+15 is (2x + 1)(x + 15).