Question

What are the answers to the last two questions?

Answer 1

1. (-1)(x^2+x-6)

2. (-1)(x+3)(x-2)

Explanation:

Factoring

It's given the trinomial

`-x^2-x+6`

1. There is no common factor (given).

2. Factor out -1:

Each term is divided by -1:

`\mathbf{(-1)(x^2+x-6)}`

3. Now we factor the remaining trinomial. We find two numbers whose sum is 1 and the product is -6. These are 3 and -2, thus the trinomial is:

(-1)(x+3)(x-2)