Factor the trinomial 5x^2+17x+14
To factor the trinomial 5x^2 + 17x + 14, we look for two numbers that multiply to give 5*14 = 70 and add to give 17.
1*70 = 70
2*35 = 70
5*14 = 70
7*10 = 70
The pair of numbers that add to give 17 is 2 and 35.
Therefore, the trinomial can be factored as (5x + 2)(x + 7).