Question

What are the answers to the last two questions?

Answer 1

Answer:

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

Step-by-step 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:

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