Question

How do you factor the trinomial `x^2-5x-45`?

Answer 1

The trinomial `x^2` `-` `5x` `-`45 cannot be simplified or factored any further

Explanation:

What adds to `-5x` and multiplies to `45`

Factors of `-5`: `1, -5`, `-5, 1`

Factors of `-45`: `1, -45`, `-1, 45`, `9,-5`, `-5, 9`, `3,-15`, `-15,3`

None of the factors of `-5` or `45` will be able to add to `-5x` and multiply to `45`

leave the trinomial as is