Factor the trinomial: 2x^2 +11x+5
To factor the trinomial 2x^2 + 11x + 5, we need to find two numbers that multiply to the product of the leading coefficient and the constant term (2 * 5 = 10) and add up to the middle coefficient (11).
The two numbers are 1 and 10. We can then rewrite the middle term (11x) using these two numbers:
2x^2 + 1x + 10x + 5
Now, we can factor by grouping:
2x^2 + x + 10x + 5
x(2x + 1) + 5(2x + 1)
(x + 5)(2x + 1)
Therefore, the factored form of the trinomial 2x^2 +11x+5 is (x + 5)(2x + 1).