Question

What are the answers to the last two questions?

Answer 1

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

Explanation:

Factoring

We are given a trinomial:

`-x^2-x+6`

The following steps are done to factor the trinomial.

1. Confirm there are no common factors: No common factors (given)

2. Factor out -1:

Multiply all the terms by -1 and take -1 out:

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

3. Factor

`x^2+x-6 = (x+p)(x+q)`

We have to find two numbers p and q whose product is -6 and the sum is 1. Those numbers are 3 and -2 (in any order):

Factoring:

`x^2+x-6 = (x+3)(x-2)`

The final factoring is:

`\boxed{(-1)(x+3)(x-2)}`