Question

Factor Trinomials (a)=(1) Mar 21, 10:27:08 PM Watch help video Factor. x^(2)-6x-27

Answer 1

To factor the trinomial x^(2) - 6x - 27, we can use the 'ac method'. By multiplying the coefficient of the squared term and the constant term to identify two numbers that multiply to give -27 and add up to -6, we can factor the trinomial as (x - 9)(x + 3).

Step-by-step explanation:

To factor the trinomial x^(2) - 6x - 27, we need to find two binomials that multiply together to give us the original trinomial. We can use the factoring method called 'ac method' to do this.

1. Multiply the coefficient of the squared term (1) and the constant term (-27) to get -27.
2. We need to find two numbers that multiply together to give -27 and add up to the coefficient of the linear term (-6). The numbers -9 and 3 satisfy these conditions. So, we can write the trinomial as (x - 9)(x + 3).

Therefore, the factored form of the trinomial x^(2) - 6x - 27 is (x - 9)(x + 3).