Algebra-1

First, factor the quadratic trinomial -x² + 8x - 12.

We can rewrite it as -(x² - 8x + 12).

Now factor x² - 8x + 12. We need to find two numbers that multiply to 12 and add up to -8.

The factors of 12 are: 1, 2, 3, 4, 6 and 12.

We need to find two numbers whose sum is -8. The numbers are -2 and -6 becau...