Question

which factor of -6x^3-2x^2+10x will lead to its complete factorization?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the complete factorization of the polynomial -6x^3-2x^2+10x, we need to identify a factor that can be factored out of each term.

The greatest common factor (GCF) of -6x^3, -2x^2, and 10x is 2x. Thus, factoring out 2x from each term, we get:

2x(-3x^2 - x + 5)

Now, we need to determine if the quadratic trinomial -3x^2 - x + 5 is factorable. We can use various methods to factor the quadratic trinomial, such as factoring by grouping, quadratic formula, or completing the square. However, upon inspection, we can see that the trinomial cannot be factored further.

Therefore, the factor 2x is the factor that will lead to the complete factorization of -6x^3-2x^2+10x.