factor each trinomial completely show how you got your answer
x^2 + 4x - 12
x^2 + 11x + 18
4x^2 - 15x - 25
1. x^2 + 4x - 12 = (x + 6)(x - 2)
To factor the trinomial x^2 + 4x - 12, we need to find two numbers that multiply to -12 and add up to 4. Those numbers are 6 and -2. Therefore, we can rewrite the trinomial as (x + 6)(x - 2).
2. x^2 + 11x + 18 = (x + 9)(x + 2)
To factor the trinomial x^2 + 11x + 18, we need to find two numbers that multiply to 18 and add up to 11. Those numbers are 9 and 2. Therefore, we can rewrite the trinomial as (x + 9)(x + 2).
3. 4x^2 - 15x - 25 = (2x - 5)(2x + 5)
To factor the trinomial 4x^2 - 15x - 25, we need to find two numbers that multiply to -100 (4 * -25) and add up to -15. Those numbers are -20 and 5. Therefore, we can rewrite the trinomial as (2x - 5)(2x + 5).