Order the steps steps from firdst to last that are used to fator: 3x^2-13x-10

Question

Mulitply 3.(-10)

Factor by grouping: take the greatest common factor out of the first two terms and the greatest common factor out of the 3rd and 4th terms.

Replace the middle term with -15x and 2x.

Find the two numbers that give a product of -30 and a sum of -13.

Determine if there is a greatest common factor amongst all the terms.

Factor once more to get your final answer.

Answer 1

1. Mulitply 3.(-10)
2. Factor by grouping: take the greatest common factor out of the first two terms and the greatest common factor out of the 3rd and 4th terms.
3. Replace the middle term with -15x and 2x.
4. Find the two numbers that give a product of -30 and a sum of -13.
5. Determine if there is a greatest common factor amongst all the terms.
6. Factor once more to get your final answer.