Question

completely factor the trinomial, if possible.

\\15x^2 - 10x - 25\\

Explanation:

Factor out the greatest common factor

Using the Factoring Polynomials by GCF knowledge point

$$ 15x^2 - 10x - 25 = 5(3x^2 - 2x - 5) $$

Factor the remaining trinomial

Using the Factoring Trinomials knowledge point

$$
LATEXBLOCK0
$$

Combine all factored parts

Using the Factoring Trinomials and Factoring Polynomials by GCF knowledge points

$$ 15x^2 - 10x - 25 = 5(3x - 5)(x + 1) $$

Answer:

\(5(3x - 5)(x + 1)\)